Robert Seiringer
Seiringer Group
138 Publications
2020 | Journal Article | IST-REx-ID: 8091 |

Emergence of Haldane pseudo-potentials in systems with short-range interactions
R. Seiringer, J. Yngvason, Journal of Statistical Physics 181 (2020) 448–464.
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| arXiv
R. Seiringer, J. Yngvason, Journal of Statistical Physics 181 (2020) 448–464.
2020 | Journal Article | IST-REx-ID: 8134 |

The free energy of the two-dimensional dilute Bose gas. II. Upper bound
S. Mayer, R. Seiringer, Journal of Mathematical Physics 61 (2020).
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| arXiv
S. Mayer, R. Seiringer, Journal of Mathematical Physics 61 (2020).
2020 | Journal Article | IST-REx-ID: 8603
Quantum corrections to the Pekar asymptotics of a strongly coupled polaron
R. Frank, R. Seiringer, Communications on Pure and Applied Mathematics 74 (2020) 544–588.
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R. Frank, R. Seiringer, Communications on Pure and Applied Mathematics 74 (2020) 544–588.
2020 | Journal Article | IST-REx-ID: 8705 |

Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit
K. Mysliwy, R. Seiringer, Annales Henri Poincare 21 (2020) 4003–4025.
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| arXiv
K. Mysliwy, R. Seiringer, Annales Henri Poincare 21 (2020) 4003–4025.
2020 | Journal Article | IST-REx-ID: 8769 |

Quantum impurity model for anyons
E. Yakaboylu, A. Ghazaryan, D. Lundholm, N. Rougerie, M. Lemeshko, R. Seiringer, Physical Review B 102 (2020).
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| arXiv
E. Yakaboylu, A. Ghazaryan, D. Lundholm, N. Rougerie, M. Lemeshko, R. Seiringer, Physical Review B 102 (2020).
2020 | Journal Article | IST-REx-ID: 7235 |

Divergence of the effective mass of a polaron in the strong coupling limit
E.H. Lieb, R. Seiringer, Journal of Statistical Physics 180 (2020) 23–33.
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E.H. Lieb, R. Seiringer, Journal of Statistical Physics 180 (2020) 23–33.
2020 | Journal Article | IST-REx-ID: 7650 |

Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature
A. Deuchert, R. Seiringer, Archive for Rational Mechanics and Analysis 236 (2020) 1217–1271.
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| arXiv
A. Deuchert, R. Seiringer, Archive for Rational Mechanics and Analysis 236 (2020) 1217–1271.
2020 | Journal Article | IST-REx-ID: 7790 |

The free energy of the two-dimensional dilute Bose gas. I. Lower bound
A. Deuchert, S. Mayer, R. Seiringer, Forum of Mathematics, Sigma 8 (2020).
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| arXiv
A. Deuchert, S. Mayer, R. Seiringer, Forum of Mathematics, Sigma 8 (2020).
2020 | Preprint | IST-REx-ID: 7901 |

Correlation energy of a weakly interacting Fermi gas
N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, ArXiv (n.d.).
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| arXiv
N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, ArXiv (n.d.).
2020 | Journal Article | IST-REx-ID: 6649 |

Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime
N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Communications in Mathematical Physics 374 (2020) 2097–2150.
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| arXiv
N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Communications in Mathematical Physics 374 (2020) 2097–2150.
2019 | Journal Article | IST-REx-ID: 80 |

Bose–Einstein condensation in a dilute, trapped gas at positive temperature
A. Deuchert, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 368 (2019) 723–776.
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A. Deuchert, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 368 (2019) 723–776.
2019 | Journal Article | IST-REx-ID: 7226 |

Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018
V. Jaksic, R. Seiringer, Journal of Mathematical Physics 60 (2019).
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V. Jaksic, R. Seiringer, Journal of Mathematical Physics 60 (2019).
2019 | Preprint | IST-REx-ID: 7524 |

The free energy of the two-dimensional dilute Bose gas. I. Lower bound
A. Deuchert, S. Mayer, R. Seiringer, ArXiv:1910.03372 (n.d.).
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A. Deuchert, S. Mayer, R. Seiringer, ArXiv:1910.03372 (n.d.).
2019 | Journal Article | IST-REx-ID: 5856 |

Energy contribution of a point-interacting impurity in a Fermi gas
T. Moser, R. Seiringer, Annales Henri Poincare 20 (2019) 1325–1365.
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| arXiv
T. Moser, R. Seiringer, Annales Henri Poincare 20 (2019) 1325–1365.
2019 | Journal Article | IST-REx-ID: 7015 |

Floating Wigner crystal with no boundary charge fluctuations
M. Lewin, E.H. Lieb, R. Seiringer, Physical Review B 100 (2019).
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| arXiv
M. Lewin, E.H. Lieb, R. Seiringer, Physical Review B 100 (2019).
2018 | Journal Article | IST-REx-ID: 295 |

Fermionic behavior of ideal anyons
D. Lundholm, R. Seiringer, Letters in Mathematical Physics 108 (2018) 2523–2541.
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| arXiv
D. Lundholm, R. Seiringer, Letters in Mathematical Physics 108 (2018) 2523–2541.
2018 | Journal Article | IST-REx-ID: 180 |

Statistical mechanics of the uniform electron gas
M. Lewi, É. Lieb, R. Seiringer, Journal de l’Ecole Polytechnique - Mathematiques 5 (2018) 79–116.
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M. Lewi, É. Lieb, R. Seiringer, Journal de l’Ecole Polytechnique - Mathematiques 5 (2018) 79–116.
2018 | Journal Article | IST-REx-ID: 154 |

Stability of the 2+2 fermionic system with point interactions
T. Moser, R. Seiringer, Mathematical Physics Analysis and Geometry 21 (2018).
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T. Moser, R. Seiringer, Mathematical Physics Analysis and Geometry 21 (2018).
2017 | Journal Article | IST-REx-ID: 741 |

Stability of a fermionic N+1 particle system with point interactions
T. Moser, R. Seiringer, Communications in Mathematical Physics 356 (2017) 329–355.
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T. Moser, R. Seiringer, Communications in Mathematical Physics 356 (2017) 329–355.
2017 | Journal Article | IST-REx-ID: 1120 |

Angular self-localization of impurities rotating in a bosonic bath
X. Li, R. Seiringer, M. Lemeshko, Physical Review A 95 (2017).
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X. Li, R. Seiringer, M. Lemeshko, Physical Review A 95 (2017).
2017 | Journal Article | IST-REx-ID: 1198 |

Triviality of a model of particles with point interactions in the thermodynamic limit
T. Moser, R. Seiringer, Letters in Mathematical Physics 107 (2017) 533–552.
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T. Moser, R. Seiringer, Letters in Mathematical Physics 107 (2017) 533–552.
2016 | Journal Article | IST-REx-ID: 1291 |

Periodic striped ground states in Ising models with competing interactions
A. Giuliani, R. Seiringer, Communications in Mathematical Physics 347 (2016) 983–1007.
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A. Giuliani, R. Seiringer, Communications in Mathematical Physics 347 (2016) 983–1007.
2016 | Journal Article | IST-REx-ID: 1422 |

Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations
R. Frank, C. Hainzl, B. Schlein, R. Seiringer, Letters in Mathematical Physics 106 (2016) 913–923.
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R. Frank, C. Hainzl, B. Schlein, R. Seiringer, Letters in Mathematical Physics 106 (2016) 913–923.
2016 | Conference Paper | IST-REx-ID: 1428 |

Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential
M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, in:, Journal of Physics: Conference Series, IOP Publishing Ltd., 2016.
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M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, in:, Journal of Physics: Conference Series, IOP Publishing Ltd., 2016.
2016 | Journal Article | IST-REx-ID: 1478 |

Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas
R. Seiringer, S. Warzel, New Journal of Physics 18 (2016).
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R. Seiringer, S. Warzel, New Journal of Physics 18 (2016).
2016 | Journal Article | IST-REx-ID: 1486 |

The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties
C. Hainzl, R. Seiringer, Journal of Mathematical Physics 57 (2016).
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C. Hainzl, R. Seiringer, Journal of Mathematical Physics 57 (2016).
2016 | Journal Article | IST-REx-ID: 1620 |

The external field dependence of the BCS critical temperature
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Communications in Mathematical Physics 342 (2016) 189–216.
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R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Communications in Mathematical Physics 342 (2016) 189–216.
2016 | Journal Article | IST-REx-ID: 1143 |

Ground states of large bosonic systems: The gross Pitaevskii limit revisited
P. Nam, N. Rougerie, R. Seiringer, Analysis and PDE 9 (2016) 459–485.
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P. Nam, N. Rougerie, R. Seiringer, Analysis and PDE 9 (2016) 459–485.
2016 | Journal Article | IST-REx-ID: 1259 |

Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit
G. Bräunlich, C. Hainzl, R. Seiringer, Mathematical Physics, Analysis and Geometry 19 (2016).
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G. Bräunlich, C. Hainzl, R. Seiringer, Mathematical Physics, Analysis and Geometry 19 (2016).
2015 | Journal Article | IST-REx-ID: 1704 |

Note on a family of monotone quantum relative entropies
A. Deuchert, C. Hainzl, R. Seiringer, Letters in Mathematical Physics 105 (2015) 1449–1466.
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A. Deuchert, C. Hainzl, R. Seiringer, Letters in Mathematical Physics 105 (2015) 1449–1466.
2015 | Journal Article | IST-REx-ID: 1880 |

Superfluid behavior of a Bose-Einstein condensate in a random potential
M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, New Journal of Physics 17 (2015).
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M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, New Journal of Physics 17 (2015).
2015 | Journal Article | IST-REx-ID: 2085 |

Collective excitations of Bose gases in the mean-field regime
P. Nam, R. Seiringer, Archive for Rational Mechanics and Analysis 215 (2015) 381–417.
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P. Nam, R. Seiringer, Archive for Rational Mechanics and Analysis 215 (2015) 381–417.
2015 | Journal Article | IST-REx-ID: 1572 |

Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet
M. Correggi, A. Giuliani, R. Seiringer, Communications in Mathematical Physics 339 (2015) 279–307.
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M. Correggi, A. Giuliani, R. Seiringer, Communications in Mathematical Physics 339 (2015) 279–307.
2015 | Journal Article | IST-REx-ID: 1573 |

Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti
T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Communications on Pure and Applied Mathematics 68 (2015) 1845–1884.
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T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Communications on Pure and Applied Mathematics 68 (2015) 1845–1884.
2014 | Journal Article | IST-REx-ID: 2281 |

On the mass concentration for Bose-Einstein condensates with attractive interactions
Y. Guo, R. Seiringer, Letters in Mathematical Physics 104 (2014) 141–156.
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Y. Guo, R. Seiringer, Letters in Mathematical Physics 104 (2014) 141–156.
2014 | Journal Article | IST-REx-ID: 2407 |

Equivalence of two definitions of the effective mass of a polaron
É. Lieb, R. Seiringer, Journal of Statistical Physics 154 (2014) 51–57.
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É. Lieb, R. Seiringer, Journal of Statistical Physics 154 (2014) 51–57.
2014 | Conference Paper | IST-REx-ID: 8044 |

Structure of the excitation spectrum for many-body quantum systems
R. Seiringer, in:, Proceeding of the International Congress of Mathematicans, Kyung Moon SA, 2014, pp. 1175–1194.
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R. Seiringer, in:, Proceeding of the International Congress of Mathematicans, Kyung Moon SA, 2014, pp. 1175–1194.
2014 | Journal Article | IST-REx-ID: 1821 |

Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation
R. Seiringer, Journal of Mathematical Physics 55 (2014).
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R. Seiringer, Journal of Mathematical Physics 55 (2014).
2014 | Journal Article | IST-REx-ID: 1822
Introduction
V. Jakšić, C. Pillet, R. Seiringer, Journal of Mathematical Physics 55 (2014).
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V. Jakšić, C. Pillet, R. Seiringer, Journal of Mathematical Physics 55 (2014).
2014 | Journal Article | IST-REx-ID: 1889 |

Translation-invariant quasi-free states for fermionic systems and the BCS approximation
G. Bräunlich, C. Hainzl, R. Seiringer, Reviews in Mathematical Physics 26 (2014).
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G. Bräunlich, C. Hainzl, R. Seiringer, Reviews in Mathematical Physics 26 (2014).
2014 | Journal Article | IST-REx-ID: 1904 |

Strichartz inequality for orthonormal functions
R. Frank, M. Lewin, É. Lieb, R. Seiringer, Journal of the European Mathematical Society 16 (2014) 1507–1526.
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R. Frank, M. Lewin, É. Lieb, R. Seiringer, Journal of the European Mathematical Society 16 (2014) 1507–1526.
2014 | Journal Article | IST-REx-ID: 1918 |

Existence of ground states for negative ions at the binding threshold
J. Bellazzini, R. Frank, É. Lieb, R. Seiringer, Reviews in Mathematical Physics 26 (2014).
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J. Bellazzini, R. Frank, É. Lieb, R. Seiringer, Reviews in Mathematical Physics 26 (2014).
2014 | Journal Article | IST-REx-ID: 1935 |

Formation of stripes and slabs near the ferromagnetic transition
A. Giuliani, É. Lieb, R. Seiringer, Communications in Mathematical Physics 331 (2014) 333–350.
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A. Giuliani, É. Lieb, R. Seiringer, Communications in Mathematical Physics 331 (2014) 333–350.
2014 | Journal Article | IST-REx-ID: 2029 |

Validity of spin-wave theory for the quantum Heisenberg model
M. Correggi, A. Giuliani, R. Seiringer, EPL 108 (2014).
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M. Correggi, A. Giuliani, R. Seiringer, EPL 108 (2014).
2014 | Journal Article | IST-REx-ID: 2186 |

On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti
T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Letters in Mathematical Physics 104 (2014) 871–891.
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T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Letters in Mathematical Physics 104 (2014) 871–891.
2014 | Conference Paper | IST-REx-ID: 1516 |

On the BCS gap equation for superfluid fermionic gases
G. Bräunlich, C. Hainzl, R. Seiringer, in:, Proceedings of the QMath12 Conference, World Scientific Publishing, 2014, pp. 127–137.
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G. Bräunlich, C. Hainzl, R. Seiringer, in:, Proceedings of the QMath12 Conference, World Scientific Publishing, 2014, pp. 127–137.
2013 | Journal Article | IST-REx-ID: 2297 |

Hot topics in cold gases: A mathematical physics perspective
R. Seiringer, Japanese Journal of Mathematics 8 (2013) 185–232.
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R. Seiringer, Japanese Journal of Mathematics 8 (2013) 185–232.
2013 | Journal Article | IST-REx-ID: 2300 |

Realization of stripes and slabs in two and three dimensions
A. Giuliani, É. Lieb, R. Seiringer, Physical Review B 88 (2013).
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A. Giuliani, É. Lieb, R. Seiringer, Physical Review B 88 (2013).
2013 | Conference Paper | IST-REx-ID: 2315 |

Disordered Bose-Einstein condensates with interaction
R. Seiringer, J. Yngvason, V. Zagrebnov, in:, World Scientific Publishing, 2013, pp. 610–619.
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R. Seiringer, J. Yngvason, V. Zagrebnov, in:, World Scientific Publishing, 2013, pp. 610–619.
2013 | Conference Paper | IST-REx-ID: 2319 |

Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, in:, Springer, 2013, pp. 57–88.
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R. Frank, C. Hainzl, R. Seiringer, J. Solovej, in:, Springer, 2013, pp. 57–88.
2013 | Journal Article | IST-REx-ID: 2404 |

A positive density analogue of the Lieb-Thirring inequality
R. Frank, M. Lewin, É. Lieb, R. Seiringer, Duke Mathematical Journal 162 (2013) 435–495.
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R. Frank, M. Lewin, É. Lieb, R. Seiringer, Duke Mathematical Journal 162 (2013) 435–495.
2013 | Journal Article | IST-REx-ID: 2405 |

Symmetry of bipolaron bound states for small Coulomb repulsion
R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 319 (2013) 557–573.
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R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 319 (2013) 557–573.
2013 | Journal Article | IST-REx-ID: 2406
Condensation of interacting bosons in a random potential
R. Seiringer, J. Yngvason, V. Zagrebnov, European Physical Journal: Special Topics 217 (2013) 103–107.
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R. Seiringer, J. Yngvason, V. Zagrebnov, European Physical Journal: Special Topics 217 (2013) 103–107.
2013 | Journal Article | IST-REx-ID: 2408 |

The excitation spectrum for weakly interacting Bosons in a trap
P. Grech, R. Seiringer, Communications in Mathematical Physics 322 (2013) 559–591.
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P. Grech, R. Seiringer, Communications in Mathematical Physics 322 (2013) 559–591.
2012 | Conference Paper | IST-REx-ID: 2316 |

Ground state properties of multi-polaron systems
R. Frank, É. Lieb, R. Seiringer, L. Thomas, in:, World Scientific Publishing, 2012, pp. 477–485.
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R. Frank, É. Lieb, R. Seiringer, L. Thomas, in:, World Scientific Publishing, 2012, pp. 477–485.
2012 | Conference Paper | IST-REx-ID: 2317 |

Microscopic derivation of the Ginzburg-Landau model
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, in:, World Scientific Publishing, 2012, pp. 575–583.
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R. Frank, C. Hainzl, R. Seiringer, J. Solovej, in:, World Scientific Publishing, 2012, pp. 575–583.
2012 | Journal Article | IST-REx-ID: 2318 |

Absence of bound states implies non-negativity of the scattering length
R. Seiringer, Journal of Spectral Theory 2 (2012) 321–328.
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R. Seiringer, Journal of Spectral Theory 2 (2012) 321–328.
2012 | Journal Article | IST-REx-ID: 2394
The gap equation for spin-polarized fermions
A. Freiji, C. Hainzl, R. Seiringer, Journal of Mathematical Physics 53 (2012).
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A. Freiji, C. Hainzl, R. Seiringer, Journal of Mathematical Physics 53 (2012).
2012 | Journal Article | IST-REx-ID: 2395 |

Microscopic derivation of Ginzburg-Landau theory
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Journal of the American Mathematical Society 25 (2012) 667–713.
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R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Journal of the American Mathematical Society 25 (2012) 667–713.
2012 | Journal Article | IST-REx-ID: 2396 |

The scattering length at positive temperature
B. Landon, R. Seiringer, Letters in Mathematical Physics 100 (2012) 237–243.
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B. Landon, R. Seiringer, Letters in Mathematical Physics 100 (2012) 237–243.
2012 | Journal Article | IST-REx-ID: 2397 |

Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 100 (2012) 119–138.
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C. Hainzl, R. Seiringer, Letters in Mathematical Physics 100 (2012) 119–138.
2012 | Book Review | IST-REx-ID: 2398 |

Quantum hypothesis testing and non-equilibrium statistical mechanics
V. Jakšić, Y. Ogata, C. Pillet, R. Seiringer, Reviews in Mathematical Physics 24 (2012).
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V. Jakšić, Y. Ogata, C. Pillet, R. Seiringer, Reviews in Mathematical Physics 24 (2012).
2012 | Book Chapter | IST-REx-ID: 2399
Cold quantum gases and bose einstein condensation
R. Seiringer, in:, V. Rivasseau, R. Seiringer, J. Solovej, T. Spencer (Eds.), Quantum Many Body Systems, Springer, 2012, pp. 55–92.
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R. Seiringer, in:, V. Rivasseau, R. Seiringer, J. Solovej, T. Spencer (Eds.), Quantum Many Body Systems, Springer, 2012, pp. 55–92.
2012 | Journal Article | IST-REx-ID: 2400 |

Binding of polarons and atoms at threshold
R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 313 (2012) 405–424.
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R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 313 (2012) 405–424.
2012 | Journal Article | IST-REx-ID: 2401 |

Further implications of the Bessis-Moussa-Villani conjecture
É. Lieb, R. Seiringer, Journal of Statistical Physics 149 (2012) 86–91.
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É. Lieb, R. Seiringer, Journal of Statistical Physics 149 (2012) 86–91.
2012 | Journal Article | IST-REx-ID: 2402 |

Lieb-Thirring inequality for a model of particles with point interactions
R. Frank, R. Seiringer, Journal of Mathematical Physics 53 (2012).
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R. Frank, R. Seiringer, Journal of Mathematical Physics 53 (2012).
2012 | Journal Article | IST-REx-ID: 2403 |

Disordered Bose-Einstein condensates with interaction in one dimension
R. Seiringer, J. Yngvason, V. Zagrebnov, Journal of Statistical Mechanics Theory and Experiment 2012 (2012).
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R. Seiringer, J. Yngvason, V. Zagrebnov, Journal of Statistical Mechanics Theory and Experiment 2012 (2012).
2011 | Conference Paper | IST-REx-ID: 2320 |

Binding, stability, and non-binding of multi-polaron systems
R. Frank, É. Lieb, R. Seiringer, L. Thomas, in:, World Scientific Publishing, 2011, pp. 21–32.
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R. Frank, É. Lieb, R. Seiringer, L. Thomas, in:, World Scientific Publishing, 2011, pp. 21–32.
2011 | Conference Paper | IST-REx-ID: 2321 |

A sharp bound on eigenvalues of Schrödinger operators on the halfline with complex-valued potentials
R. Frank, A. Laptev, R. Seiringer, in:, Springer, 2011, pp. 39–44.
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R. Frank, A. Laptev, R. Seiringer, in:, Springer, 2011, pp. 39–44.
2011 | Journal Article | IST-REx-ID: 2390 |

Stability and absence of binding for multi-polaron systems
R. Frank, É. Lieb, R. Seiringer, L. Thomas, Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques 113 (2011) 39–67.
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R. Frank, É. Lieb, R. Seiringer, L. Thomas, Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques 113 (2011) 39–67.
2011 | Journal Article | IST-REx-ID: 2391 |

Energy cost to make a hole in the fermi sea
R. Frank, M. Lewin, É. Lieb, R. Seiringer, Physical Review Letters 106 (2011).
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R. Frank, M. Lewin, É. Lieb, R. Seiringer, Physical Review Letters 106 (2011).
2011 | Journal Article | IST-REx-ID: 2393 |

The excitation spectrum for weakly interacting Bosons
R. Seiringer, Communications in Mathematical Physics 306 (2011) 565–578.
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R. Seiringer, Communications in Mathematical Physics 306 (2011) 565–578.
2010 | Conference Paper | IST-REx-ID: 2322 |

Equivalence of Sobolev inequalities and Lieb-Thirring inequalities
R. Frank, É. Lieb, R. Seiringer, in:, World Scientific Publishing, 2010, pp. 523–535.
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R. Frank, É. Lieb, R. Seiringer, in:, World Scientific Publishing, 2010, pp. 523–535.
2010 | Conference Paper | IST-REx-ID: 2323 |

Hot topics on cold gases
R. Seiringer, in:, World Scientific Publishing, 2010, pp. 231–245.
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R. Seiringer, in:, World Scientific Publishing, 2010, pp. 231–245.
2010 | Book Chapter | IST-REx-ID: 2324 |

Sharp fractional Hardy inequalities in half-spaces
R. Frank, R. Seiringer, in:, Around the Research of Vladimir Maz’ya I, Springer, 2010, pp. 161–167.
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R. Frank, R. Seiringer, in:, Around the Research of Vladimir Maz’ya I, Springer, 2010, pp. 161–167.
2010 | Journal Article | IST-REx-ID: 2389 |

Asymptotic behavior of eigenvalues of Schrödinger type operators with degenerate kinetic energy
C. Hainzl, R. Seiringer, Mathematische Nachrichten 283 (2010) 489–499.
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C. Hainzl, R. Seiringer, Mathematische Nachrichten 283 (2010) 489–499.
2010 | Journal Article | IST-REx-ID: 2392 |

Bipolaron and N-polaron binding energies
R. Frank, É. Lieb, R. Seiringer, L. Thomas, Physical Review Letters 104 (2010).
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R. Frank, É. Lieb, R. Seiringer, L. Thomas, Physical Review Letters 104 (2010).
2009 | Book | IST-REx-ID: 2326
The Stability of Matter in Quantum Mechanics
É. Lieb, R. Seiringer, The Stability of Matter in Quantum Mechanics, Cambridge University Press, 2009.
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É. Lieb, R. Seiringer, The Stability of Matter in Quantum Mechanics, Cambridge University Press, 2009.
2009 | Conference Paper | IST-REx-ID: 2330
A linear criterion for solutions of non-linear equations, with application to the BCS gap equation
C. Hainzl, R. Seiringer, in:, American Mathematical Society, 2009, pp. 101–104.
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| DOI
C. Hainzl, R. Seiringer, in:, American Mathematical Society, 2009, pp. 101–104.
2009 | Journal Article | IST-REx-ID: 2384 |

The ground state energy of the weakly interacting Bose gas at high density
A. Giuliani, R. Seiringer, Journal of Statistical Physics 135 (2009) 915–934.
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A. Giuliani, R. Seiringer, Journal of Statistical Physics 135 (2009) 915–934.
2009 | Journal Article | IST-REx-ID: 2385 |

Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime
É. Lieb, R. Seiringer, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 79 (2009).
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É. Lieb, R. Seiringer, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 79 (2009).
2009 | Journal Article | IST-REx-ID: 2386 |

Rigorous upper bound on the critical temperature of dilute Bose gases
R. Seiringer, D. Ueltschi, Physical Review B - Condensed Matter and Materials Physics 80 (2009).
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R. Seiringer, D. Ueltschi, Physical Review B - Condensed Matter and Materials Physics 80 (2009).
2009 | Journal Article | IST-REx-ID: 2387 |

Strongly correlated phases in rapidly rotating Bose gases
M. Lewin, R. Seiringer, Journal of Statistical Physics 137 (2009) 1040–1062.
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M. Lewin, R. Seiringer, Journal of Statistical Physics 137 (2009) 1040–1062.
2009 | Journal Article | IST-REx-ID: 2388 |

Probabilistic coherence and proper scoring rules
J. Predd, R. Seiringer, É. Lieb, D. Osherson, H. Poor, S. Kulkarni, IEEE Transactions on Information Theory 55 (2009) 4786–4792.
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J. Predd, R. Seiringer, É. Lieb, D. Osherson, H. Poor, S. Kulkarni, IEEE Transactions on Information Theory 55 (2009) 4786–4792.
2008 | Conference Paper | IST-REx-ID: 2331 |

Spectral properties of the BCS gap equation of superfluidity
C. Hainzl, R. Seiringer, in:, World Scientific Publishing, 2008, pp. 117–136.
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C. Hainzl, R. Seiringer, in:, World Scientific Publishing, 2008, pp. 117–136.
2008 | Conference Paper | IST-REx-ID: 2332 |

Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases
R. Seiringer, in:, World Scientific Publishing, 2008, pp. 241–254.
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R. Seiringer, in:, World Scientific Publishing, 2008, pp. 241–254.
2008 | Journal Article | IST-REx-ID: 2374 |

Free energy of a dilute Bose gas: Lower bound
R. Seiringer, Communications in Mathematical Physics 279 (2008) 595–636.
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R. Seiringer, Communications in Mathematical Physics 279 (2008) 595–636.
2008 | Journal Article | IST-REx-ID: 2376 |

Critical temperature and energy gap for the BCS equation
C. Hainzl, R. Seiringer, Physical Review B - Condensed Matter and Materials Physics 77 (2008).
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C. Hainzl, R. Seiringer, Physical Review B - Condensed Matter and Materials Physics 77 (2008).
2008 | Journal Article | IST-REx-ID: 2377 |

The BCS critical temperature for potentials with negative scattering length
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 84 (2008) 99–107.
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C. Hainzl, R. Seiringer, Letters in Mathematical Physics 84 (2008) 99–107.
2008 | Journal Article | IST-REx-ID: 2378 |

Ground state energy of the low density hubbard model
R. Seiringer, J. Yin, Journal of Statistical Physics 131 (2008) 1139–1154.
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R. Seiringer, J. Yin, Journal of Statistical Physics 131 (2008) 1139–1154.
2008 | Journal Article | IST-REx-ID: 2379 |

Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
R. Frank, É. Lieb, R. Seiringer, Journal of the American Mathematical Society 21 (2008) 925–950.
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R. Frank, É. Lieb, R. Seiringer, Journal of the American Mathematical Society 21 (2008) 925–950.
2008 | Journal Article | IST-REx-ID: 2380 |

The BCS functional for general pair interactions
C. Hainzl, E. Hamza, R. Seiringer, J. Solovej, Communications in Mathematical Physics 281 (2008) 349–367.
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C. Hainzl, E. Hamza, R. Seiringer, J. Solovej, Communications in Mathematical Physics 281 (2008) 349–367.
2008 | Journal Article | IST-REx-ID: 2381 |

Non-linear ground state representations and sharp Hardy inequalities
R. Frank, R. Seiringer, Journal of Functional Analysis 255 (2008) 3407–3430.
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R. Frank, R. Seiringer, Journal of Functional Analysis 255 (2008) 3407–3430.
2008 | Journal Article | IST-REx-ID: 2382 |

The Lieb-Liniger model as a limit of dilute bosons in three dimensions
R. Seiringer, J. Yin, Communications in Mathematical Physics 284 (2008) 459–479.
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R. Seiringer, J. Yin, Communications in Mathematical Physics 284 (2008) 459–479.
2008 | Journal Article | IST-REx-ID: 2383 |

A nonlinear model for relativistic electrons at positive temperature
C. Hainzl, M. Lewin, R. Seiringer, Reviews in Mathematical Physics 20 (2008) 1283–1307.
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C. Hainzl, M. Lewin, R. Seiringer, Reviews in Mathematical Physics 20 (2008) 1283–1307.
2007 | Journal Article | IST-REx-ID: 2367 |

On the failure of subadditivity of the Wigner-Yanase entropy
R. Seiringer, Letters in Mathematical Physics 80 (2007) 285–288.
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R. Seiringer, Letters in Mathematical Physics 80 (2007) 285–288.
2007 | Journal Article | IST-REx-ID: 2370 |

Bose-Einstein condensation and spontaneous symmetry breaking
É. Lieb, R. Seiringer, J. Yngvason, Reports on Mathematical Physics 59 (2007) 389–399.
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É. Lieb, R. Seiringer, J. Yngvason, Reports on Mathematical Physics 59 (2007) 389–399.
2007 | Journal Article | IST-REx-ID: 2371 |

Stability of relativistic matter with magnetic fields for nuclear charges up to the critical value
R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 275 (2007) 479–489.
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R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 275 (2007) 479–489.
2007 | Journal Article | IST-REx-ID: 2372 |

Müller's exchange-correlation energy in density-matrix-functional theory
R. Frank, É. Lieb, R. Seiringer, H. Siedentop, Physical Review A - Atomic, Molecular, and Optical Physics 76 (2007).
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R. Frank, É. Lieb, R. Seiringer, H. Siedentop, Physical Review A - Atomic, Molecular, and Optical Physics 76 (2007).
2007 | Journal Article | IST-REx-ID: 2373 |

The critical temperature for the BCS equation at weak coupling
R. Frank, C. Hainzl, S. Naboko, R. Seiringer, Journal of Geometric Analysis 17 (2007) 559–567.
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R. Frank, C. Hainzl, S. Naboko, R. Seiringer, Journal of Geometric Analysis 17 (2007) 559–567.
2007 | Journal Article | IST-REx-ID: 2375 |

Number of bound states of Schrödinger operators with matrix-valued potentials
R. Frank, É. Lieb, R. Seiringer, Letters in Mathematical Physics 82 (2007) 107–116.
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R. Frank, É. Lieb, R. Seiringer, Letters in Mathematical Physics 82 (2007) 107–116.
2006 | Conference Paper | IST-REx-ID: 2333 |

Ground-state energy of a dilute Fermi gas
É. Lieb, R. Seiringer, J. Solovej, in:, American Mathematical Society, 2006, pp. 239–248.
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É. Lieb, R. Seiringer, J. Solovej, in:, American Mathematical Society, 2006, pp. 239–248.
2006 | Conference Paper | IST-REx-ID: 2334 |

One-dimensional behavior of dilute, trapped Bose gases in traps
R. Seiringer, É. Lieb, J. Yngvason, in:, J. Zambrini (Ed.), World Scientific Publishing, 2006.
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R. Seiringer, É. Lieb, J. Yngvason, in:, J. Zambrini (Ed.), World Scientific Publishing, 2006.
2006 | Book Review | IST-REx-ID: 2363 |

Derivation of the Gross-Pitaevskii equation for rotating Bose gases
É. Lieb, R. Seiringer, Communications in Mathematical Physics 264 (2006) 505–537.
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É. Lieb, R. Seiringer, Communications in Mathematical Physics 264 (2006) 505–537.
2006 | Journal Article | IST-REx-ID: 2364 |

A correlation estimate for quantum many-body systems at positive temperature
R. Seiringer, Reviews in Mathematical Physics 18 (2006) 233–253.
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R. Seiringer, Reviews in Mathematical Physics 18 (2006) 233–253.
2006 | Journal Article | IST-REx-ID: 2365 |

The thermodynamic pressure of a dilute fermi gas
R. Seiringer, Communications in Mathematical Physics 261 (2006) 729–757.
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R. Seiringer, Communications in Mathematical Physics 261 (2006) 729–757.
2006 | Journal Article | IST-REx-ID: 2366 |

Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials
R. Frank, A. Laptev, É. Lieb, R. Seiringer, Letters in Mathematical Physics 77 (2006) 309–316.
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R. Frank, A. Laptev, É. Lieb, R. Seiringer, Letters in Mathematical Physics 77 (2006) 309–316.
2006 | Book Chapter | IST-REx-ID: 2368
Dilute, trapped Bose gases and Bose-Einstein condensation
R. Seiringer, in:, J. Dereziński, H. Siedentop (Eds.), Large Coulomb Systems, Springer, 2006, pp. 249–274.
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R. Seiringer, in:, J. Dereziński, H. Siedentop (Eds.), Large Coulomb Systems, Springer, 2006, pp. 249–274.
2006 | Book Chapter | IST-REx-ID: 2369 |

Bose-Einstein condensation as a quantum phase transition in an optical lattice
M. Aizenman, É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, in:, J. Asch, A. Joye (Eds.), Mathematical Physics of Quantum Mechanics, Springer, 2006, pp. 199–215.
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M. Aizenman, É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, in:, J. Asch, A. Joye (Eds.), Mathematical Physics of Quantum Mechanics, Springer, 2006, pp. 199–215.
2005 | Book | IST-REx-ID: 2335 |

The mathematics of the Bose gas and its condensation
É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, The Mathematics of the Bose Gas and Its Condensation, Birkhäuser, 2005.
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É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, The Mathematics of the Bose Gas and Its Condensation, Birkhäuser, 2005.
2005 | Book Chapter | IST-REx-ID: 2336 |

The quantum-mechanical many-body problem: The Bose gas
É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, in:, M. Benedicks, P. Jones, S. Smirnov, B. Winckler (Eds.), Perspectives in Analysis, Springer, 2005, pp. 97–183.
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É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, in:, M. Benedicks, P. Jones, S. Smirnov, B. Winckler (Eds.), Perspectives in Analysis, Springer, 2005, pp. 97–183.
2005 | Journal Article | IST-REx-ID: 2359 |

Justification of c-number substitutions in bosonic hamiltonians
É. Lieb, R. Seiringer, J. Yngvason, Physical Review Letters 94 (2005).
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É. Lieb, R. Seiringer, J. Yngvason, Physical Review Letters 94 (2005).
2005 | Journal Article | IST-REx-ID: 2361 |

Stronger subadditivity of entropy
É. Lieb, R. Seiringer, Physical Review A - Atomic, Molecular, and Optical Physics 71 (2005).
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É. Lieb, R. Seiringer, Physical Review A - Atomic, Molecular, and Optical Physics 71 (2005).
2005 | Journal Article | IST-REx-ID: 2362 |

Ground state energy of the low density Fermi gas
É. Lieb, R. Seiringer, J. Solovej, Physical Review A - Atomic, Molecular, and Optical Physics 71 (2005).
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É. Lieb, R. Seiringer, J. Solovej, Physical Review A - Atomic, Molecular, and Optical Physics 71 (2005).
2004 | Journal Article | IST-REx-ID: 2355 |

Equivalent forms of the Bessis-Moussa-Villani conjecture
É. Lieb, R. Seiringer, Journal of Statistical Physics 115 (2004) 185–190.
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É. Lieb, R. Seiringer, Journal of Statistical Physics 115 (2004) 185–190.
2004 | Journal Article | IST-REx-ID: 2356 |

One-dimensional behavior of dilute, trapped Bose gases
É. Lieb, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 244 (2004) 347–393.
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É. Lieb, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 244 (2004) 347–393.
2004 | Journal Article | IST-REx-ID: 2360 |

Bose-Einstein quantum phase transition in an optical lattice model
M. Aizenman, É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 70 (2004) 023612-1-0236121-2.
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M. Aizenman, É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 70 (2004) 023612-1-0236121-2.
2003 | Conference Paper | IST-REx-ID: 2337 |

Bose-Einstein condensation of dilute gases in traps
É. Lieb, R. Seiringer, in:, Y. Karpeshina, R. Weikard, Y. Zeng (Eds.), American Mathematical Society, 2003, pp. 239–250.
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É. Lieb, R. Seiringer, in:, Y. Karpeshina, R. Weikard, Y. Zeng (Eds.), American Mathematical Society, 2003, pp. 239–250.
2003 | Journal Article | IST-REx-ID: 2354 |

Ground state asymptotics of a dilute, rotating gas
R. Seiringer, Journal of Physics A: Mathematical and Theoretical 36 (2003) 9755–9778.
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R. Seiringer, Journal of Physics A: Mathematical and Theoretical 36 (2003) 9755–9778.
2003 | Journal Article | IST-REx-ID: 2357 |

Poincaré inequalities in punctured domains
É. Lieb, R. Seiringer, J. Yngvason, Annals of Mathematics 158 (2003) 1067–1080.
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É. Lieb, R. Seiringer, J. Yngvason, Annals of Mathematics 158 (2003) 1067–1080.
2003 | Journal Article | IST-REx-ID: 2358 |

One-dimensional Bosons in three-dimensional traps
É. Lieb, R. Seiringer, J. Yngvason, Physical Review Letters 91 (2003) 1504011–1504014.
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É. Lieb, R. Seiringer, J. Yngvason, Physical Review Letters 91 (2003) 1504011–1504014.
2002 | Book Chapter | IST-REx-ID: 2338
The ground state of the Bose gas
É. Lieb, J. Solovej, R. Seiringer, J. Yngvason, in:, Current Developments in Mathematics, 2001, International Press, 2002, pp. 131–178.
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| DOI
É. Lieb, J. Solovej, R. Seiringer, J. Yngvason, in:, Current Developments in Mathematics, 2001, International Press, 2002, pp. 131–178.
2002 | Conference Paper | IST-REx-ID: 2339
Symmetry breaking in a model of a rotating Bose gas
R. Seiringer, in:, R. Weder, P. Exner, B. Grébert (Eds.), World Scientific Publishing, 2002, pp. 281–286.
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| DOI
R. Seiringer, in:, R. Weder, P. Exner, B. Grébert (Eds.), World Scientific Publishing, 2002, pp. 281–286.
2002 | Journal Article | IST-REx-ID: 2349 |

Proof of Bose-Einstein condensation for dilute trapped gases
É. Lieb, R. Seiringer, Physical Review Letters 88 (2002) 1704091–1704094.
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É. Lieb, R. Seiringer, Physical Review Letters 88 (2002) 1704091–1704094.
2002 | Journal Article | IST-REx-ID: 2350 |

Mass renormalization and energy level shift in non-relativistic QED
C. Hainzl, R. Seiringer, Advances in Theoretical and Mathematical Physics 6 (2002) 847–871.
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C. Hainzl, R. Seiringer, Advances in Theoretical and Mathematical Physics 6 (2002) 847–871.
2002 | Journal Article | IST-REx-ID: 2351 |

Gross-Pitaevskii theory of the rotating Bose gas
R. Seiringer, Communications in Mathematical Physics 229 (2002) 491–509.
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R. Seiringer, Communications in Mathematical Physics 229 (2002) 491–509.
2002 | Journal Article | IST-REx-ID: 2352 |

General decomposition of radial functions on ℝn and applications to N-body quantum systems
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 61 (2002) 75–84.
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C. Hainzl, R. Seiringer, Letters in Mathematical Physics 61 (2002) 75–84.
2002 | Journal Article | IST-REx-ID: 2353 |

Superfluidity in dilute trapped Bose gases
É. Lieb, R. Seiringer, J. Yngvason, Physical Review B - Condensed Matter and Materials Physics 66 (2002).
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É. Lieb, R. Seiringer, J. Yngvason, Physical Review B - Condensed Matter and Materials Physics 66 (2002).
2001 | Conference Paper | IST-REx-ID: 2340 |

Bosons in a trap: Asymptotic exactness of the Gross-Pitaevskii ground state energy formula
R. Seiringer, in:, M. Demuth, B. Schultze (Eds.), Birkhäuser, 2001, pp. 307–314.
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R. Seiringer, in:, M. Demuth, B. Schultze (Eds.), Birkhäuser, 2001, pp. 307–314.
2001 | Journal Article | IST-REx-ID: 2341 |

Atoms with bosonic "electrons" in strong magnetic fields
B. Baumgartner, R. Seiringer, Annales Henri Poincare 2 (2001) 41–76.
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B. Baumgartner, R. Seiringer, Annales Henri Poincare 2 (2001) 41–76.
2001 | Journal Article | IST-REx-ID: 2345 |

On the maximal ionization of atoms in strong magnetic fields
R. Seiringer, Journal of Physics A: Mathematical and General 34 (2001) 1943–1948.
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R. Seiringer, Journal of Physics A: Mathematical and General 34 (2001) 1943–1948.
2001 | Journal Article | IST-REx-ID: 2346 |

Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 55 (2001) 133–142.
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C. Hainzl, R. Seiringer, Letters in Mathematical Physics 55 (2001) 133–142.
2001 | Journal Article | IST-REx-ID: 2347 |

A rigorous derivation of the Gross-Pitaevskii energy functional for a two-dimensional Bose gas
É. Lieb, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 224 (2001) 17–31.
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É. Lieb, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 224 (2001) 17–31.
2001 | Journal Article | IST-REx-ID: 2348 |

A discrete density matrix theory for atoms in strong magnetic fields
C. Hainzl, R. Seiringer, Communications in Mathematical Physics 217 (2001) 229–248.
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C. Hainzl, R. Seiringer, Communications in Mathematical Physics 217 (2001) 229–248.
2000 | Conference Paper | IST-REx-ID: 2325
Inequalities for Schrödinger operators and applications to the stability of matter problem
R. Seiringer, in:, American Mathematical Society, 2000, pp. 53–72.
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| DOI
R. Seiringer, in:, American Mathematical Society, 2000, pp. 53–72.
2000 | Conference Paper | IST-REx-ID: 2342 |

The ground state energy and density of interacting bosons in a trap
R. Seiringer, É. Lieb, J. Yngvason, in:, World Scientific Publishing, 2000, pp. 101–110.
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R. Seiringer, É. Lieb, J. Yngvason, in:, World Scientific Publishing, 2000, pp. 101–110.
2000 | Journal Article | IST-REx-ID: 2343 |

On the ordering of energy levels in homogeneous magnetic fields
B. Baumgartner, R. Seiringer, Letters in Mathematical Physics 54 (2000) 213–226.
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B. Baumgartner, R. Seiringer, Letters in Mathematical Physics 54 (2000) 213–226.
2000 | Journal Article | IST-REx-ID: 2344 |

Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional
É. Lieb, R. Seiringer, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 61 (2000) 436021–4360213.
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É. Lieb, R. Seiringer, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 61 (2000) 436021–4360213.
138 Publications
2020 | Journal Article | IST-REx-ID: 8091 |

Emergence of Haldane pseudo-potentials in systems with short-range interactions
R. Seiringer, J. Yngvason, Journal of Statistical Physics 181 (2020) 448–464.
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| Files available
| DOI
| arXiv
R. Seiringer, J. Yngvason, Journal of Statistical Physics 181 (2020) 448–464.
2020 | Journal Article | IST-REx-ID: 8134 |

The free energy of the two-dimensional dilute Bose gas. II. Upper bound
S. Mayer, R. Seiringer, Journal of Mathematical Physics 61 (2020).
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| arXiv
S. Mayer, R. Seiringer, Journal of Mathematical Physics 61 (2020).
2020 | Journal Article | IST-REx-ID: 8603
Quantum corrections to the Pekar asymptotics of a strongly coupled polaron
R. Frank, R. Seiringer, Communications on Pure and Applied Mathematics 74 (2020) 544–588.
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| DOI
R. Frank, R. Seiringer, Communications on Pure and Applied Mathematics 74 (2020) 544–588.
2020 | Journal Article | IST-REx-ID: 8705 |

Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit
K. Mysliwy, R. Seiringer, Annales Henri Poincare 21 (2020) 4003–4025.
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| Files available
| DOI
| arXiv
K. Mysliwy, R. Seiringer, Annales Henri Poincare 21 (2020) 4003–4025.
2020 | Journal Article | IST-REx-ID: 8769 |

Quantum impurity model for anyons
E. Yakaboylu, A. Ghazaryan, D. Lundholm, N. Rougerie, M. Lemeshko, R. Seiringer, Physical Review B 102 (2020).
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E. Yakaboylu, A. Ghazaryan, D. Lundholm, N. Rougerie, M. Lemeshko, R. Seiringer, Physical Review B 102 (2020).
2020 | Journal Article | IST-REx-ID: 7235 |

Divergence of the effective mass of a polaron in the strong coupling limit
E.H. Lieb, R. Seiringer, Journal of Statistical Physics 180 (2020) 23–33.
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E.H. Lieb, R. Seiringer, Journal of Statistical Physics 180 (2020) 23–33.
2020 | Journal Article | IST-REx-ID: 7650 |

Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature
A. Deuchert, R. Seiringer, Archive for Rational Mechanics and Analysis 236 (2020) 1217–1271.
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| Files available
| DOI
| arXiv
A. Deuchert, R. Seiringer, Archive for Rational Mechanics and Analysis 236 (2020) 1217–1271.
2020 | Journal Article | IST-REx-ID: 7790 |

The free energy of the two-dimensional dilute Bose gas. I. Lower bound
A. Deuchert, S. Mayer, R. Seiringer, Forum of Mathematics, Sigma 8 (2020).
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| Files available
| DOI
| arXiv
A. Deuchert, S. Mayer, R. Seiringer, Forum of Mathematics, Sigma 8 (2020).
2020 | Preprint | IST-REx-ID: 7901 |

Correlation energy of a weakly interacting Fermi gas
N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, ArXiv (n.d.).
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| arXiv
N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, ArXiv (n.d.).
2020 | Journal Article | IST-REx-ID: 6649 |

Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime
N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Communications in Mathematical Physics 374 (2020) 2097–2150.
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| arXiv
N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Communications in Mathematical Physics 374 (2020) 2097–2150.
2019 | Journal Article | IST-REx-ID: 80 |

Bose–Einstein condensation in a dilute, trapped gas at positive temperature
A. Deuchert, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 368 (2019) 723–776.
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A. Deuchert, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 368 (2019) 723–776.
2019 | Journal Article | IST-REx-ID: 7226 |

Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018
V. Jaksic, R. Seiringer, Journal of Mathematical Physics 60 (2019).
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V. Jaksic, R. Seiringer, Journal of Mathematical Physics 60 (2019).
2019 | Preprint | IST-REx-ID: 7524 |

The free energy of the two-dimensional dilute Bose gas. I. Lower bound
A. Deuchert, S. Mayer, R. Seiringer, ArXiv:1910.03372 (n.d.).
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A. Deuchert, S. Mayer, R. Seiringer, ArXiv:1910.03372 (n.d.).
2019 | Journal Article | IST-REx-ID: 5856 |

Energy contribution of a point-interacting impurity in a Fermi gas
T. Moser, R. Seiringer, Annales Henri Poincare 20 (2019) 1325–1365.
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| arXiv
T. Moser, R. Seiringer, Annales Henri Poincare 20 (2019) 1325–1365.
2019 | Journal Article | IST-REx-ID: 7015 |

Floating Wigner crystal with no boundary charge fluctuations
M. Lewin, E.H. Lieb, R. Seiringer, Physical Review B 100 (2019).
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| arXiv
M. Lewin, E.H. Lieb, R. Seiringer, Physical Review B 100 (2019).
2018 | Journal Article | IST-REx-ID: 295 |

Fermionic behavior of ideal anyons
D. Lundholm, R. Seiringer, Letters in Mathematical Physics 108 (2018) 2523–2541.
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| arXiv
D. Lundholm, R. Seiringer, Letters in Mathematical Physics 108 (2018) 2523–2541.
2018 | Journal Article | IST-REx-ID: 180 |

Statistical mechanics of the uniform electron gas
M. Lewi, É. Lieb, R. Seiringer, Journal de l’Ecole Polytechnique - Mathematiques 5 (2018) 79–116.
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M. Lewi, É. Lieb, R. Seiringer, Journal de l’Ecole Polytechnique - Mathematiques 5 (2018) 79–116.
2018 | Journal Article | IST-REx-ID: 154 |

Stability of the 2+2 fermionic system with point interactions
T. Moser, R. Seiringer, Mathematical Physics Analysis and Geometry 21 (2018).
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T. Moser, R. Seiringer, Mathematical Physics Analysis and Geometry 21 (2018).
2017 | Journal Article | IST-REx-ID: 741 |

Stability of a fermionic N+1 particle system with point interactions
T. Moser, R. Seiringer, Communications in Mathematical Physics 356 (2017) 329–355.
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T. Moser, R. Seiringer, Communications in Mathematical Physics 356 (2017) 329–355.
2017 | Journal Article | IST-REx-ID: 1120 |

Angular self-localization of impurities rotating in a bosonic bath
X. Li, R. Seiringer, M. Lemeshko, Physical Review A 95 (2017).
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X. Li, R. Seiringer, M. Lemeshko, Physical Review A 95 (2017).
2017 | Journal Article | IST-REx-ID: 1198 |

Triviality of a model of particles with point interactions in the thermodynamic limit
T. Moser, R. Seiringer, Letters in Mathematical Physics 107 (2017) 533–552.
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T. Moser, R. Seiringer, Letters in Mathematical Physics 107 (2017) 533–552.
2016 | Journal Article | IST-REx-ID: 1291 |

Periodic striped ground states in Ising models with competing interactions
A. Giuliani, R. Seiringer, Communications in Mathematical Physics 347 (2016) 983–1007.
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A. Giuliani, R. Seiringer, Communications in Mathematical Physics 347 (2016) 983–1007.
2016 | Journal Article | IST-REx-ID: 1422 |

Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations
R. Frank, C. Hainzl, B. Schlein, R. Seiringer, Letters in Mathematical Physics 106 (2016) 913–923.
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R. Frank, C. Hainzl, B. Schlein, R. Seiringer, Letters in Mathematical Physics 106 (2016) 913–923.
2016 | Conference Paper | IST-REx-ID: 1428 |

Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential
M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, in:, Journal of Physics: Conference Series, IOP Publishing Ltd., 2016.
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M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, in:, Journal of Physics: Conference Series, IOP Publishing Ltd., 2016.
2016 | Journal Article | IST-REx-ID: 1478 |

Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas
R. Seiringer, S. Warzel, New Journal of Physics 18 (2016).
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R. Seiringer, S. Warzel, New Journal of Physics 18 (2016).
2016 | Journal Article | IST-REx-ID: 1486 |

The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties
C. Hainzl, R. Seiringer, Journal of Mathematical Physics 57 (2016).
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C. Hainzl, R. Seiringer, Journal of Mathematical Physics 57 (2016).
2016 | Journal Article | IST-REx-ID: 1620 |

The external field dependence of the BCS critical temperature
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Communications in Mathematical Physics 342 (2016) 189–216.
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R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Communications in Mathematical Physics 342 (2016) 189–216.
2016 | Journal Article | IST-REx-ID: 1143 |

Ground states of large bosonic systems: The gross Pitaevskii limit revisited
P. Nam, N. Rougerie, R. Seiringer, Analysis and PDE 9 (2016) 459–485.
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P. Nam, N. Rougerie, R. Seiringer, Analysis and PDE 9 (2016) 459–485.
2016 | Journal Article | IST-REx-ID: 1259 |

Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit
G. Bräunlich, C. Hainzl, R. Seiringer, Mathematical Physics, Analysis and Geometry 19 (2016).
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G. Bräunlich, C. Hainzl, R. Seiringer, Mathematical Physics, Analysis and Geometry 19 (2016).
2015 | Journal Article | IST-REx-ID: 1704 |

Note on a family of monotone quantum relative entropies
A. Deuchert, C. Hainzl, R. Seiringer, Letters in Mathematical Physics 105 (2015) 1449–1466.
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A. Deuchert, C. Hainzl, R. Seiringer, Letters in Mathematical Physics 105 (2015) 1449–1466.
2015 | Journal Article | IST-REx-ID: 1880 |

Superfluid behavior of a Bose-Einstein condensate in a random potential
M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, New Journal of Physics 17 (2015).
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M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, New Journal of Physics 17 (2015).
2015 | Journal Article | IST-REx-ID: 2085 |

Collective excitations of Bose gases in the mean-field regime
P. Nam, R. Seiringer, Archive for Rational Mechanics and Analysis 215 (2015) 381–417.
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P. Nam, R. Seiringer, Archive for Rational Mechanics and Analysis 215 (2015) 381–417.
2015 | Journal Article | IST-REx-ID: 1572 |

Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet
M. Correggi, A. Giuliani, R. Seiringer, Communications in Mathematical Physics 339 (2015) 279–307.
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M. Correggi, A. Giuliani, R. Seiringer, Communications in Mathematical Physics 339 (2015) 279–307.
2015 | Journal Article | IST-REx-ID: 1573 |

Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti
T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Communications on Pure and Applied Mathematics 68 (2015) 1845–1884.
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T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Communications on Pure and Applied Mathematics 68 (2015) 1845–1884.
2014 | Journal Article | IST-REx-ID: 2281 |

On the mass concentration for Bose-Einstein condensates with attractive interactions
Y. Guo, R. Seiringer, Letters in Mathematical Physics 104 (2014) 141–156.
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Y. Guo, R. Seiringer, Letters in Mathematical Physics 104 (2014) 141–156.
2014 | Journal Article | IST-REx-ID: 2407 |

Equivalence of two definitions of the effective mass of a polaron
É. Lieb, R. Seiringer, Journal of Statistical Physics 154 (2014) 51–57.
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É. Lieb, R. Seiringer, Journal of Statistical Physics 154 (2014) 51–57.
2014 | Conference Paper | IST-REx-ID: 8044 |

Structure of the excitation spectrum for many-body quantum systems
R. Seiringer, in:, Proceeding of the International Congress of Mathematicans, Kyung Moon SA, 2014, pp. 1175–1194.
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R. Seiringer, in:, Proceeding of the International Congress of Mathematicans, Kyung Moon SA, 2014, pp. 1175–1194.
2014 | Journal Article | IST-REx-ID: 1821 |

Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation
R. Seiringer, Journal of Mathematical Physics 55 (2014).
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R. Seiringer, Journal of Mathematical Physics 55 (2014).
2014 | Journal Article | IST-REx-ID: 1822
Introduction
V. Jakšić, C. Pillet, R. Seiringer, Journal of Mathematical Physics 55 (2014).
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V. Jakšić, C. Pillet, R. Seiringer, Journal of Mathematical Physics 55 (2014).
2014 | Journal Article | IST-REx-ID: 1889 |

Translation-invariant quasi-free states for fermionic systems and the BCS approximation
G. Bräunlich, C. Hainzl, R. Seiringer, Reviews in Mathematical Physics 26 (2014).
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G. Bräunlich, C. Hainzl, R. Seiringer, Reviews in Mathematical Physics 26 (2014).
2014 | Journal Article | IST-REx-ID: 1904 |

Strichartz inequality for orthonormal functions
R. Frank, M. Lewin, É. Lieb, R. Seiringer, Journal of the European Mathematical Society 16 (2014) 1507–1526.
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R. Frank, M. Lewin, É. Lieb, R. Seiringer, Journal of the European Mathematical Society 16 (2014) 1507–1526.
2014 | Journal Article | IST-REx-ID: 1918 |

Existence of ground states for negative ions at the binding threshold
J. Bellazzini, R. Frank, É. Lieb, R. Seiringer, Reviews in Mathematical Physics 26 (2014).
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J. Bellazzini, R. Frank, É. Lieb, R. Seiringer, Reviews in Mathematical Physics 26 (2014).
2014 | Journal Article | IST-REx-ID: 1935 |

Formation of stripes and slabs near the ferromagnetic transition
A. Giuliani, É. Lieb, R. Seiringer, Communications in Mathematical Physics 331 (2014) 333–350.
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A. Giuliani, É. Lieb, R. Seiringer, Communications in Mathematical Physics 331 (2014) 333–350.
2014 | Journal Article | IST-REx-ID: 2029 |

Validity of spin-wave theory for the quantum Heisenberg model
M. Correggi, A. Giuliani, R. Seiringer, EPL 108 (2014).
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M. Correggi, A. Giuliani, R. Seiringer, EPL 108 (2014).
2014 | Journal Article | IST-REx-ID: 2186 |

On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti
T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Letters in Mathematical Physics 104 (2014) 871–891.
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T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Letters in Mathematical Physics 104 (2014) 871–891.
2014 | Conference Paper | IST-REx-ID: 1516 |

On the BCS gap equation for superfluid fermionic gases
G. Bräunlich, C. Hainzl, R. Seiringer, in:, Proceedings of the QMath12 Conference, World Scientific Publishing, 2014, pp. 127–137.
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| arXiv
G. Bräunlich, C. Hainzl, R. Seiringer, in:, Proceedings of the QMath12 Conference, World Scientific Publishing, 2014, pp. 127–137.
2013 | Journal Article | IST-REx-ID: 2297 |

Hot topics in cold gases: A mathematical physics perspective
R. Seiringer, Japanese Journal of Mathematics 8 (2013) 185–232.
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| arXiv
R. Seiringer, Japanese Journal of Mathematics 8 (2013) 185–232.
2013 | Journal Article | IST-REx-ID: 2300 |

Realization of stripes and slabs in two and three dimensions
A. Giuliani, É. Lieb, R. Seiringer, Physical Review B 88 (2013).
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| arXiv
A. Giuliani, É. Lieb, R. Seiringer, Physical Review B 88 (2013).
2013 | Conference Paper | IST-REx-ID: 2315 |

Disordered Bose-Einstein condensates with interaction
R. Seiringer, J. Yngvason, V. Zagrebnov, in:, World Scientific Publishing, 2013, pp. 610–619.
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R. Seiringer, J. Yngvason, V. Zagrebnov, in:, World Scientific Publishing, 2013, pp. 610–619.
2013 | Conference Paper | IST-REx-ID: 2319 |

Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, in:, Springer, 2013, pp. 57–88.
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R. Frank, C. Hainzl, R. Seiringer, J. Solovej, in:, Springer, 2013, pp. 57–88.
2013 | Journal Article | IST-REx-ID: 2404 |

A positive density analogue of the Lieb-Thirring inequality
R. Frank, M. Lewin, É. Lieb, R. Seiringer, Duke Mathematical Journal 162 (2013) 435–495.
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R. Frank, M. Lewin, É. Lieb, R. Seiringer, Duke Mathematical Journal 162 (2013) 435–495.
2013 | Journal Article | IST-REx-ID: 2405 |

Symmetry of bipolaron bound states for small Coulomb repulsion
R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 319 (2013) 557–573.
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R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 319 (2013) 557–573.
2013 | Journal Article | IST-REx-ID: 2406
Condensation of interacting bosons in a random potential
R. Seiringer, J. Yngvason, V. Zagrebnov, European Physical Journal: Special Topics 217 (2013) 103–107.
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R. Seiringer, J. Yngvason, V. Zagrebnov, European Physical Journal: Special Topics 217 (2013) 103–107.
2013 | Journal Article | IST-REx-ID: 2408 |

The excitation spectrum for weakly interacting Bosons in a trap
P. Grech, R. Seiringer, Communications in Mathematical Physics 322 (2013) 559–591.
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P. Grech, R. Seiringer, Communications in Mathematical Physics 322 (2013) 559–591.
2012 | Conference Paper | IST-REx-ID: 2316 |

Ground state properties of multi-polaron systems
R. Frank, É. Lieb, R. Seiringer, L. Thomas, in:, World Scientific Publishing, 2012, pp. 477–485.
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R. Frank, É. Lieb, R. Seiringer, L. Thomas, in:, World Scientific Publishing, 2012, pp. 477–485.
2012 | Conference Paper | IST-REx-ID: 2317 |

Microscopic derivation of the Ginzburg-Landau model
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, in:, World Scientific Publishing, 2012, pp. 575–583.
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R. Frank, C. Hainzl, R. Seiringer, J. Solovej, in:, World Scientific Publishing, 2012, pp. 575–583.
2012 | Journal Article | IST-REx-ID: 2318 |

Absence of bound states implies non-negativity of the scattering length
R. Seiringer, Journal of Spectral Theory 2 (2012) 321–328.
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R. Seiringer, Journal of Spectral Theory 2 (2012) 321–328.
2012 | Journal Article | IST-REx-ID: 2394
The gap equation for spin-polarized fermions
A. Freiji, C. Hainzl, R. Seiringer, Journal of Mathematical Physics 53 (2012).
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A. Freiji, C. Hainzl, R. Seiringer, Journal of Mathematical Physics 53 (2012).
2012 | Journal Article | IST-REx-ID: 2395 |

Microscopic derivation of Ginzburg-Landau theory
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Journal of the American Mathematical Society 25 (2012) 667–713.
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R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Journal of the American Mathematical Society 25 (2012) 667–713.
2012 | Journal Article | IST-REx-ID: 2396 |

The scattering length at positive temperature
B. Landon, R. Seiringer, Letters in Mathematical Physics 100 (2012) 237–243.
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B. Landon, R. Seiringer, Letters in Mathematical Physics 100 (2012) 237–243.
2012 | Journal Article | IST-REx-ID: 2397 |

Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 100 (2012) 119–138.
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C. Hainzl, R. Seiringer, Letters in Mathematical Physics 100 (2012) 119–138.
2012 | Book Review | IST-REx-ID: 2398 |

Quantum hypothesis testing and non-equilibrium statistical mechanics
V. Jakšić, Y. Ogata, C. Pillet, R. Seiringer, Reviews in Mathematical Physics 24 (2012).
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V. Jakšić, Y. Ogata, C. Pillet, R. Seiringer, Reviews in Mathematical Physics 24 (2012).
2012 | Book Chapter | IST-REx-ID: 2399
Cold quantum gases and bose einstein condensation
R. Seiringer, in:, V. Rivasseau, R. Seiringer, J. Solovej, T. Spencer (Eds.), Quantum Many Body Systems, Springer, 2012, pp. 55–92.
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R. Seiringer, in:, V. Rivasseau, R. Seiringer, J. Solovej, T. Spencer (Eds.), Quantum Many Body Systems, Springer, 2012, pp. 55–92.
2012 | Journal Article | IST-REx-ID: 2400 |

Binding of polarons and atoms at threshold
R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 313 (2012) 405–424.
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R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 313 (2012) 405–424.
2012 | Journal Article | IST-REx-ID: 2401 |

Further implications of the Bessis-Moussa-Villani conjecture
É. Lieb, R. Seiringer, Journal of Statistical Physics 149 (2012) 86–91.
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É. Lieb, R. Seiringer, Journal of Statistical Physics 149 (2012) 86–91.
2012 | Journal Article | IST-REx-ID: 2402 |

Lieb-Thirring inequality for a model of particles with point interactions
R. Frank, R. Seiringer, Journal of Mathematical Physics 53 (2012).
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R. Frank, R. Seiringer, Journal of Mathematical Physics 53 (2012).
2012 | Journal Article | IST-REx-ID: 2403 |

Disordered Bose-Einstein condensates with interaction in one dimension
R. Seiringer, J. Yngvason, V. Zagrebnov, Journal of Statistical Mechanics Theory and Experiment 2012 (2012).
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R. Seiringer, J. Yngvason, V. Zagrebnov, Journal of Statistical Mechanics Theory and Experiment 2012 (2012).
2011 | Conference Paper | IST-REx-ID: 2320 |

Binding, stability, and non-binding of multi-polaron systems
R. Frank, É. Lieb, R. Seiringer, L. Thomas, in:, World Scientific Publishing, 2011, pp. 21–32.
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R. Frank, É. Lieb, R. Seiringer, L. Thomas, in:, World Scientific Publishing, 2011, pp. 21–32.
2011 | Conference Paper | IST-REx-ID: 2321 |

A sharp bound on eigenvalues of Schrödinger operators on the halfline with complex-valued potentials
R. Frank, A. Laptev, R. Seiringer, in:, Springer, 2011, pp. 39–44.
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R. Frank, A. Laptev, R. Seiringer, in:, Springer, 2011, pp. 39–44.
2011 | Journal Article | IST-REx-ID: 2390 |

Stability and absence of binding for multi-polaron systems
R. Frank, É. Lieb, R. Seiringer, L. Thomas, Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques 113 (2011) 39–67.
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R. Frank, É. Lieb, R. Seiringer, L. Thomas, Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques 113 (2011) 39–67.
2011 | Journal Article | IST-REx-ID: 2391 |

Energy cost to make a hole in the fermi sea
R. Frank, M. Lewin, É. Lieb, R. Seiringer, Physical Review Letters 106 (2011).
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R. Frank, M. Lewin, É. Lieb, R. Seiringer, Physical Review Letters 106 (2011).
2011 | Journal Article | IST-REx-ID: 2393 |

The excitation spectrum for weakly interacting Bosons
R. Seiringer, Communications in Mathematical Physics 306 (2011) 565–578.
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R. Seiringer, Communications in Mathematical Physics 306 (2011) 565–578.
2010 | Conference Paper | IST-REx-ID: 2322 |

Equivalence of Sobolev inequalities and Lieb-Thirring inequalities
R. Frank, É. Lieb, R. Seiringer, in:, World Scientific Publishing, 2010, pp. 523–535.
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R. Frank, É. Lieb, R. Seiringer, in:, World Scientific Publishing, 2010, pp. 523–535.
2010 | Conference Paper | IST-REx-ID: 2323 |

Hot topics on cold gases
R. Seiringer, in:, World Scientific Publishing, 2010, pp. 231–245.
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R. Seiringer, in:, World Scientific Publishing, 2010, pp. 231–245.
2010 | Book Chapter | IST-REx-ID: 2324 |

Sharp fractional Hardy inequalities in half-spaces
R. Frank, R. Seiringer, in:, Around the Research of Vladimir Maz’ya I, Springer, 2010, pp. 161–167.
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R. Frank, R. Seiringer, in:, Around the Research of Vladimir Maz’ya I, Springer, 2010, pp. 161–167.
2010 | Journal Article | IST-REx-ID: 2389 |

Asymptotic behavior of eigenvalues of Schrödinger type operators with degenerate kinetic energy
C. Hainzl, R. Seiringer, Mathematische Nachrichten 283 (2010) 489–499.
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C. Hainzl, R. Seiringer, Mathematische Nachrichten 283 (2010) 489–499.
2010 | Journal Article | IST-REx-ID: 2392 |

Bipolaron and N-polaron binding energies
R. Frank, É. Lieb, R. Seiringer, L. Thomas, Physical Review Letters 104 (2010).
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R. Frank, É. Lieb, R. Seiringer, L. Thomas, Physical Review Letters 104 (2010).
2009 | Book | IST-REx-ID: 2326
The Stability of Matter in Quantum Mechanics
É. Lieb, R. Seiringer, The Stability of Matter in Quantum Mechanics, Cambridge University Press, 2009.
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É. Lieb, R. Seiringer, The Stability of Matter in Quantum Mechanics, Cambridge University Press, 2009.
2009 | Conference Paper | IST-REx-ID: 2330
A linear criterion for solutions of non-linear equations, with application to the BCS gap equation
C. Hainzl, R. Seiringer, in:, American Mathematical Society, 2009, pp. 101–104.
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C. Hainzl, R. Seiringer, in:, American Mathematical Society, 2009, pp. 101–104.
2009 | Journal Article | IST-REx-ID: 2384 |

The ground state energy of the weakly interacting Bose gas at high density
A. Giuliani, R. Seiringer, Journal of Statistical Physics 135 (2009) 915–934.
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A. Giuliani, R. Seiringer, Journal of Statistical Physics 135 (2009) 915–934.
2009 | Journal Article | IST-REx-ID: 2385 |

Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime
É. Lieb, R. Seiringer, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 79 (2009).
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É. Lieb, R. Seiringer, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 79 (2009).
2009 | Journal Article | IST-REx-ID: 2386 |

Rigorous upper bound on the critical temperature of dilute Bose gases
R. Seiringer, D. Ueltschi, Physical Review B - Condensed Matter and Materials Physics 80 (2009).
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R. Seiringer, D. Ueltschi, Physical Review B - Condensed Matter and Materials Physics 80 (2009).
2009 | Journal Article | IST-REx-ID: 2387 |

Strongly correlated phases in rapidly rotating Bose gases
M. Lewin, R. Seiringer, Journal of Statistical Physics 137 (2009) 1040–1062.
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M. Lewin, R. Seiringer, Journal of Statistical Physics 137 (2009) 1040–1062.
2009 | Journal Article | IST-REx-ID: 2388 |

Probabilistic coherence and proper scoring rules
J. Predd, R. Seiringer, É. Lieb, D. Osherson, H. Poor, S. Kulkarni, IEEE Transactions on Information Theory 55 (2009) 4786–4792.
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J. Predd, R. Seiringer, É. Lieb, D. Osherson, H. Poor, S. Kulkarni, IEEE Transactions on Information Theory 55 (2009) 4786–4792.
2008 | Conference Paper | IST-REx-ID: 2331 |

Spectral properties of the BCS gap equation of superfluidity
C. Hainzl, R. Seiringer, in:, World Scientific Publishing, 2008, pp. 117–136.
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C. Hainzl, R. Seiringer, in:, World Scientific Publishing, 2008, pp. 117–136.
2008 | Conference Paper | IST-REx-ID: 2332 |

Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases
R. Seiringer, in:, World Scientific Publishing, 2008, pp. 241–254.
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R. Seiringer, in:, World Scientific Publishing, 2008, pp. 241–254.
2008 | Journal Article | IST-REx-ID: 2374 |

Free energy of a dilute Bose gas: Lower bound
R. Seiringer, Communications in Mathematical Physics 279 (2008) 595–636.
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R. Seiringer, Communications in Mathematical Physics 279 (2008) 595–636.
2008 | Journal Article | IST-REx-ID: 2376 |

Critical temperature and energy gap for the BCS equation
C. Hainzl, R. Seiringer, Physical Review B - Condensed Matter and Materials Physics 77 (2008).
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C. Hainzl, R. Seiringer, Physical Review B - Condensed Matter and Materials Physics 77 (2008).
2008 | Journal Article | IST-REx-ID: 2377 |

The BCS critical temperature for potentials with negative scattering length
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 84 (2008) 99–107.
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C. Hainzl, R. Seiringer, Letters in Mathematical Physics 84 (2008) 99–107.
2008 | Journal Article | IST-REx-ID: 2378 |

Ground state energy of the low density hubbard model
R. Seiringer, J. Yin, Journal of Statistical Physics 131 (2008) 1139–1154.
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R. Seiringer, J. Yin, Journal of Statistical Physics 131 (2008) 1139–1154.
2008 | Journal Article | IST-REx-ID: 2379 |

Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
R. Frank, É. Lieb, R. Seiringer, Journal of the American Mathematical Society 21 (2008) 925–950.
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R. Frank, É. Lieb, R. Seiringer, Journal of the American Mathematical Society 21 (2008) 925–950.
2008 | Journal Article | IST-REx-ID: 2380 |

The BCS functional for general pair interactions
C. Hainzl, E. Hamza, R. Seiringer, J. Solovej, Communications in Mathematical Physics 281 (2008) 349–367.
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C. Hainzl, E. Hamza, R. Seiringer, J. Solovej, Communications in Mathematical Physics 281 (2008) 349–367.
2008 | Journal Article | IST-REx-ID: 2381 |

Non-linear ground state representations and sharp Hardy inequalities
R. Frank, R. Seiringer, Journal of Functional Analysis 255 (2008) 3407–3430.
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R. Frank, R. Seiringer, Journal of Functional Analysis 255 (2008) 3407–3430.
2008 | Journal Article | IST-REx-ID: 2382 |

The Lieb-Liniger model as a limit of dilute bosons in three dimensions
R. Seiringer, J. Yin, Communications in Mathematical Physics 284 (2008) 459–479.
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R. Seiringer, J. Yin, Communications in Mathematical Physics 284 (2008) 459–479.
2008 | Journal Article | IST-REx-ID: 2383 |

A nonlinear model for relativistic electrons at positive temperature
C. Hainzl, M. Lewin, R. Seiringer, Reviews in Mathematical Physics 20 (2008) 1283–1307.
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C. Hainzl, M. Lewin, R. Seiringer, Reviews in Mathematical Physics 20 (2008) 1283–1307.
2007 | Journal Article | IST-REx-ID: 2367 |

On the failure of subadditivity of the Wigner-Yanase entropy
R. Seiringer, Letters in Mathematical Physics 80 (2007) 285–288.
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R. Seiringer, Letters in Mathematical Physics 80 (2007) 285–288.
2007 | Journal Article | IST-REx-ID: 2370 |

Bose-Einstein condensation and spontaneous symmetry breaking
É. Lieb, R. Seiringer, J. Yngvason, Reports on Mathematical Physics 59 (2007) 389–399.
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É. Lieb, R. Seiringer, J. Yngvason, Reports on Mathematical Physics 59 (2007) 389–399.
2007 | Journal Article | IST-REx-ID: 2371 |

Stability of relativistic matter with magnetic fields for nuclear charges up to the critical value
R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 275 (2007) 479–489.
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R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 275 (2007) 479–489.
2007 | Journal Article | IST-REx-ID: 2372 |

Müller's exchange-correlation energy in density-matrix-functional theory
R. Frank, É. Lieb, R. Seiringer, H. Siedentop, Physical Review A - Atomic, Molecular, and Optical Physics 76 (2007).
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R. Frank, É. Lieb, R. Seiringer, H. Siedentop, Physical Review A - Atomic, Molecular, and Optical Physics 76 (2007).
2007 | Journal Article | IST-REx-ID: 2373 |

The critical temperature for the BCS equation at weak coupling
R. Frank, C. Hainzl, S. Naboko, R. Seiringer, Journal of Geometric Analysis 17 (2007) 559–567.
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R. Frank, C. Hainzl, S. Naboko, R. Seiringer, Journal of Geometric Analysis 17 (2007) 559–567.
2007 | Journal Article | IST-REx-ID: 2375 |

Number of bound states of Schrödinger operators with matrix-valued potentials
R. Frank, É. Lieb, R. Seiringer, Letters in Mathematical Physics 82 (2007) 107–116.
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R. Frank, É. Lieb, R. Seiringer, Letters in Mathematical Physics 82 (2007) 107–116.
2006 | Conference Paper | IST-REx-ID: 2333 |

Ground-state energy of a dilute Fermi gas
É. Lieb, R. Seiringer, J. Solovej, in:, American Mathematical Society, 2006, pp. 239–248.
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É. Lieb, R. Seiringer, J. Solovej, in:, American Mathematical Society, 2006, pp. 239–248.
2006 | Conference Paper | IST-REx-ID: 2334 |

One-dimensional behavior of dilute, trapped Bose gases in traps
R. Seiringer, É. Lieb, J. Yngvason, in:, J. Zambrini (Ed.), World Scientific Publishing, 2006.
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R. Seiringer, É. Lieb, J. Yngvason, in:, J. Zambrini (Ed.), World Scientific Publishing, 2006.
2006 | Book Review | IST-REx-ID: 2363 |

Derivation of the Gross-Pitaevskii equation for rotating Bose gases
É. Lieb, R. Seiringer, Communications in Mathematical Physics 264 (2006) 505–537.
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É. Lieb, R. Seiringer, Communications in Mathematical Physics 264 (2006) 505–537.
2006 | Journal Article | IST-REx-ID: 2364 |

A correlation estimate for quantum many-body systems at positive temperature
R. Seiringer, Reviews in Mathematical Physics 18 (2006) 233–253.
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R. Seiringer, Reviews in Mathematical Physics 18 (2006) 233–253.
2006 | Journal Article | IST-REx-ID: 2365 |

The thermodynamic pressure of a dilute fermi gas
R. Seiringer, Communications in Mathematical Physics 261 (2006) 729–757.
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R. Seiringer, Communications in Mathematical Physics 261 (2006) 729–757.
2006 | Journal Article | IST-REx-ID: 2366 |

Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials
R. Frank, A. Laptev, É. Lieb, R. Seiringer, Letters in Mathematical Physics 77 (2006) 309–316.
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R. Frank, A. Laptev, É. Lieb, R. Seiringer, Letters in Mathematical Physics 77 (2006) 309–316.
2006 | Book Chapter | IST-REx-ID: 2368
Dilute, trapped Bose gases and Bose-Einstein condensation
R. Seiringer, in:, J. Dereziński, H. Siedentop (Eds.), Large Coulomb Systems, Springer, 2006, pp. 249–274.
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R. Seiringer, in:, J. Dereziński, H. Siedentop (Eds.), Large Coulomb Systems, Springer, 2006, pp. 249–274.
2006 | Book Chapter | IST-REx-ID: 2369 |

Bose-Einstein condensation as a quantum phase transition in an optical lattice
M. Aizenman, É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, in:, J. Asch, A. Joye (Eds.), Mathematical Physics of Quantum Mechanics, Springer, 2006, pp. 199–215.
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M. Aizenman, É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, in:, J. Asch, A. Joye (Eds.), Mathematical Physics of Quantum Mechanics, Springer, 2006, pp. 199–215.
2005 | Book | IST-REx-ID: 2335 |

The mathematics of the Bose gas and its condensation
É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, The Mathematics of the Bose Gas and Its Condensation, Birkhäuser, 2005.
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É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, The Mathematics of the Bose Gas and Its Condensation, Birkhäuser, 2005.
2005 | Book Chapter | IST-REx-ID: 2336 |

The quantum-mechanical many-body problem: The Bose gas
É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, in:, M. Benedicks, P. Jones, S. Smirnov, B. Winckler (Eds.), Perspectives in Analysis, Springer, 2005, pp. 97–183.
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É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, in:, M. Benedicks, P. Jones, S. Smirnov, B. Winckler (Eds.), Perspectives in Analysis, Springer, 2005, pp. 97–183.
2005 | Journal Article | IST-REx-ID: 2359 |

Justification of c-number substitutions in bosonic hamiltonians
É. Lieb, R. Seiringer, J. Yngvason, Physical Review Letters 94 (2005).
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É. Lieb, R. Seiringer, J. Yngvason, Physical Review Letters 94 (2005).
2005 | Journal Article | IST-REx-ID: 2361 |

Stronger subadditivity of entropy
É. Lieb, R. Seiringer, Physical Review A - Atomic, Molecular, and Optical Physics 71 (2005).
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É. Lieb, R. Seiringer, Physical Review A - Atomic, Molecular, and Optical Physics 71 (2005).
2005 | Journal Article | IST-REx-ID: 2362 |

Ground state energy of the low density Fermi gas
É. Lieb, R. Seiringer, J. Solovej, Physical Review A - Atomic, Molecular, and Optical Physics 71 (2005).
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É. Lieb, R. Seiringer, J. Solovej, Physical Review A - Atomic, Molecular, and Optical Physics 71 (2005).
2004 | Journal Article | IST-REx-ID: 2355 |

Equivalent forms of the Bessis-Moussa-Villani conjecture
É. Lieb, R. Seiringer, Journal of Statistical Physics 115 (2004) 185–190.
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É. Lieb, R. Seiringer, Journal of Statistical Physics 115 (2004) 185–190.
2004 | Journal Article | IST-REx-ID: 2356 |

One-dimensional behavior of dilute, trapped Bose gases
É. Lieb, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 244 (2004) 347–393.
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É. Lieb, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 244 (2004) 347–393.
2004 | Journal Article | IST-REx-ID: 2360 |

Bose-Einstein quantum phase transition in an optical lattice model
M. Aizenman, É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 70 (2004) 023612-1-0236121-2.
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M. Aizenman, É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 70 (2004) 023612-1-0236121-2.
2003 | Conference Paper | IST-REx-ID: 2337 |

Bose-Einstein condensation of dilute gases in traps
É. Lieb, R. Seiringer, in:, Y. Karpeshina, R. Weikard, Y. Zeng (Eds.), American Mathematical Society, 2003, pp. 239–250.
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É. Lieb, R. Seiringer, in:, Y. Karpeshina, R. Weikard, Y. Zeng (Eds.), American Mathematical Society, 2003, pp. 239–250.
2003 | Journal Article | IST-REx-ID: 2354 |

Ground state asymptotics of a dilute, rotating gas
R. Seiringer, Journal of Physics A: Mathematical and Theoretical 36 (2003) 9755–9778.
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R. Seiringer, Journal of Physics A: Mathematical and Theoretical 36 (2003) 9755–9778.
2003 | Journal Article | IST-REx-ID: 2357 |

Poincaré inequalities in punctured domains
É. Lieb, R. Seiringer, J. Yngvason, Annals of Mathematics 158 (2003) 1067–1080.
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É. Lieb, R. Seiringer, J. Yngvason, Annals of Mathematics 158 (2003) 1067–1080.
2003 | Journal Article | IST-REx-ID: 2358 |

One-dimensional Bosons in three-dimensional traps
É. Lieb, R. Seiringer, J. Yngvason, Physical Review Letters 91 (2003) 1504011–1504014.
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É. Lieb, R. Seiringer, J. Yngvason, Physical Review Letters 91 (2003) 1504011–1504014.
2002 | Book Chapter | IST-REx-ID: 2338
The ground state of the Bose gas
É. Lieb, J. Solovej, R. Seiringer, J. Yngvason, in:, Current Developments in Mathematics, 2001, International Press, 2002, pp. 131–178.
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É. Lieb, J. Solovej, R. Seiringer, J. Yngvason, in:, Current Developments in Mathematics, 2001, International Press, 2002, pp. 131–178.
2002 | Conference Paper | IST-REx-ID: 2339
Symmetry breaking in a model of a rotating Bose gas
R. Seiringer, in:, R. Weder, P. Exner, B. Grébert (Eds.), World Scientific Publishing, 2002, pp. 281–286.
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R. Seiringer, in:, R. Weder, P. Exner, B. Grébert (Eds.), World Scientific Publishing, 2002, pp. 281–286.
2002 | Journal Article | IST-REx-ID: 2349 |

Proof of Bose-Einstein condensation for dilute trapped gases
É. Lieb, R. Seiringer, Physical Review Letters 88 (2002) 1704091–1704094.
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É. Lieb, R. Seiringer, Physical Review Letters 88 (2002) 1704091–1704094.
2002 | Journal Article | IST-REx-ID: 2350 |

Mass renormalization and energy level shift in non-relativistic QED
C. Hainzl, R. Seiringer, Advances in Theoretical and Mathematical Physics 6 (2002) 847–871.
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C. Hainzl, R. Seiringer, Advances in Theoretical and Mathematical Physics 6 (2002) 847–871.
2002 | Journal Article | IST-REx-ID: 2351 |

Gross-Pitaevskii theory of the rotating Bose gas
R. Seiringer, Communications in Mathematical Physics 229 (2002) 491–509.
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R. Seiringer, Communications in Mathematical Physics 229 (2002) 491–509.
2002 | Journal Article | IST-REx-ID: 2352 |

General decomposition of radial functions on ℝn and applications to N-body quantum systems
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 61 (2002) 75–84.
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C. Hainzl, R. Seiringer, Letters in Mathematical Physics 61 (2002) 75–84.
2002 | Journal Article | IST-REx-ID: 2353 |

Superfluidity in dilute trapped Bose gases
É. Lieb, R. Seiringer, J. Yngvason, Physical Review B - Condensed Matter and Materials Physics 66 (2002).
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É. Lieb, R. Seiringer, J. Yngvason, Physical Review B - Condensed Matter and Materials Physics 66 (2002).
2001 | Conference Paper | IST-REx-ID: 2340 |

Bosons in a trap: Asymptotic exactness of the Gross-Pitaevskii ground state energy formula
R. Seiringer, in:, M. Demuth, B. Schultze (Eds.), Birkhäuser, 2001, pp. 307–314.
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R. Seiringer, in:, M. Demuth, B. Schultze (Eds.), Birkhäuser, 2001, pp. 307–314.
2001 | Journal Article | IST-REx-ID: 2341 |

Atoms with bosonic "electrons" in strong magnetic fields
B. Baumgartner, R. Seiringer, Annales Henri Poincare 2 (2001) 41–76.
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B. Baumgartner, R. Seiringer, Annales Henri Poincare 2 (2001) 41–76.
2001 | Journal Article | IST-REx-ID: 2345 |

On the maximal ionization of atoms in strong magnetic fields
R. Seiringer, Journal of Physics A: Mathematical and General 34 (2001) 1943–1948.
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R. Seiringer, Journal of Physics A: Mathematical and General 34 (2001) 1943–1948.
2001 | Journal Article | IST-REx-ID: 2346 |

Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 55 (2001) 133–142.
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C. Hainzl, R. Seiringer, Letters in Mathematical Physics 55 (2001) 133–142.
2001 | Journal Article | IST-REx-ID: 2347 |

A rigorous derivation of the Gross-Pitaevskii energy functional for a two-dimensional Bose gas
É. Lieb, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 224 (2001) 17–31.
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É. Lieb, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 224 (2001) 17–31.
2001 | Journal Article | IST-REx-ID: 2348 |

A discrete density matrix theory for atoms in strong magnetic fields
C. Hainzl, R. Seiringer, Communications in Mathematical Physics 217 (2001) 229–248.
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C. Hainzl, R. Seiringer, Communications in Mathematical Physics 217 (2001) 229–248.
2000 | Conference Paper | IST-REx-ID: 2325
Inequalities for Schrödinger operators and applications to the stability of matter problem
R. Seiringer, in:, American Mathematical Society, 2000, pp. 53–72.
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R. Seiringer, in:, American Mathematical Society, 2000, pp. 53–72.
2000 | Conference Paper | IST-REx-ID: 2342 |

The ground state energy and density of interacting bosons in a trap
R. Seiringer, É. Lieb, J. Yngvason, in:, World Scientific Publishing, 2000, pp. 101–110.
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R. Seiringer, É. Lieb, J. Yngvason, in:, World Scientific Publishing, 2000, pp. 101–110.
2000 | Journal Article | IST-REx-ID: 2343 |

On the ordering of energy levels in homogeneous magnetic fields
B. Baumgartner, R. Seiringer, Letters in Mathematical Physics 54 (2000) 213–226.
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B. Baumgartner, R. Seiringer, Letters in Mathematical Physics 54 (2000) 213–226.
2000 | Journal Article | IST-REx-ID: 2344 |

Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional
É. Lieb, R. Seiringer, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 61 (2000) 436021–4360213.
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É. Lieb, R. Seiringer, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 61 (2000) 436021–4360213.