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80 Publications


2020 | Journal Article | IST-REx-ID: 6649 | OA
N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime,” Communications in Mathematical Physics, vol. 374, pp. 2097–2150, 2020.
View | Files available | DOI | arXiv
 

2020 | Journal Article | IST-REx-ID: 7508 | OA
L. Bossmann, N. Pavlović, P. Pickl, and A. Soffer, “Higher order corrections to the mean-field description of the dynamics of interacting bosons,” Journal of Statistical Physics, 2020.
View | Files available | DOI | arXiv
 

2020 | Thesis | IST-REx-ID: 7514 | OA
S. Mayer, The free energy of a dilute two-dimensional Bose gas. IST Austria, 2020.
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2020 | Journal Article | IST-REx-ID: 7611 | OA
S. A. E. Rademacher, “Central limit theorem for Bose gases interacting through singular potentials,” Letters in Mathematical Physics, 2020.
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2020 | Journal Article | IST-REx-ID: 7650 | OA
A. Deuchert and R. Seiringer, “Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature,” Archive for Rational Mechanics and Analysis, vol. 236, no. 6, pp. 1217–1271, 2020.
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2020 | Journal Article | IST-REx-ID: 7685 | OA
C. Boccato, “The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime,” Reviews in Mathematical Physics, p. 2060006, 2020.
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2020 | Journal Article | IST-REx-ID: 7790 | OA
A. Deuchert, S. Mayer, and R. Seiringer, “The free energy of the two-dimensional dilute Bose gas. I. Lower bound,” Forum of Mathematics, Sigma, vol. 8, 2020.
View | Files available | DOI | arXiv
 

2020 | Journal Article | IST-REx-ID: 7900 | OA
N. P. Benedikter, “Bosonic collective excitations in Fermi gases,” Reviews in Mathematical Physics, p. 2060009, 2020.
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2020 | Preprint | IST-REx-ID: 7901 | OA
N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Correlation energy of a weakly interacting Fermi gas,” ArXiv. ArXiv.
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2020 | Journal Article | IST-REx-ID: 8042 | OA
C. Boccato, C. Brennecke, S. Cenatiempo, and B. Schlein, “The excitation spectrum of Bose gases interacting through singular potentials,” Journal of the European Mathematical Society, vol. 22, no. 7, pp. 2331–2403, 2020.
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2020 | Journal Article | IST-REx-ID: 8091 | OA
R. Seiringer and J. Yngvason, “Emergence of Haldane pseudo-potentials in systems with short-range interactions,” Journal of Statistical Physics, 2020.
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2020 | Journal Article | IST-REx-ID: 8134 | OA
S. Mayer and R. Seiringer, “The free energy of the two-dimensional dilute Bose gas. II. Upper bound,” Journal of Mathematical Physics, vol. 61, no. 6, 2020.
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2020 | Journal Article | IST-REx-ID: 8130 | OA
L. Bossmann, “Derivation of the 2d Gross–Pitaevskii equation for strongly confined 3d Bosons,” Archive for Rational Mechanics and Analysis, 2020.
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2019 | Journal Article | IST-REx-ID: 5856 | OA
T. Moser and R. Seiringer, “Energy contribution of a point-interacting impurity in a Fermi gas,” Annales Henri Poincare, vol. 20, no. 4, pp. 1325–1365, 2019.
View | Files available | DOI | arXiv
 

2019 | Journal Article | IST-REx-ID: 6788 | OA
N. K. Leopold and S. P. Petrat, “Mean-field dynamics for the Nelson model with fermions,” Annales Henri Poincare, vol. 20, no. 10, pp. 3471–3508, 2019.
View | Files available | DOI | arXiv
 

2019 | Journal Article | IST-REx-ID: 6840 | OA
K. Mysliwy and M. Napiórkowski, “Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps,” Journal of Statistical Mechanics: Theory and Experiment, vol. 2019, no. 6, 2019.
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2019 | Journal Article | IST-REx-ID: 6906 | OA
C. Boccato, C. Brennecke, S. Cenatiempo, and B. Schlein, “Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime,” Communications in Mathematical Physics, 2019.
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2019 | Journal Article | IST-REx-ID: 7015 | OA
M. Lewin, E. H. Lieb, and R. Seiringer, “Floating Wigner crystal with no boundary charge fluctuations,” Physical Review B, vol. 100, no. 3, 2019.
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2019 | Journal Article | IST-REx-ID: 7100 | OA
M. Jeblick, N. K. Leopold, and P. Pickl, “Derivation of the time dependent Gross–Pitaevskii equation in two dimensions,” Communications in Mathematical Physics, vol. 372, no. 1, pp. 1–69, 2019.
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2019 | Journal Article | IST-REx-ID: 7226 | OA
V. Jaksic and R. Seiringer, “Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018,” Journal of Mathematical Physics, vol. 60, no. 12, 2019.
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2019 | Journal Article | IST-REx-ID: 7235 | OA
E. H. Lieb and R. Seiringer, “Divergence of the effective mass of a polaron in the strong coupling limit,” Journal of Statistical Physics, 2019.
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2019 | Journal Article | IST-REx-ID: 7413 | OA
C. Boccato, C. Brennecke, S. Cenatiempo, and B. Schlein, “Bogoliubov theory in the Gross–Pitaevskii limit,” Acta Mathematica, vol. 222, no. 2, pp. 219–335, 2019.
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2019 | Preprint | IST-REx-ID: 7524 | OA
A. Deuchert, S. Mayer, and R. Seiringer, “The free energy of the two-dimensional dilute Bose gas. I. Lower bound,” arXiv:1910.03372. ArXiv.
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2019 | Journal Article | IST-REx-ID: 80 | OA
A. Deuchert, R. Seiringer, and J. Yngvason, “Bose–Einstein condensation in a dilute, trapped gas at positive temperature,” Communications in Mathematical Physics, vol. 368, no. 2, pp. 723–776, 2019.
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2018 | Journal Article | IST-REx-ID: 180 | OA
M. Lewi, É. Lieb, and R. Seiringer, “Statistical mechanics of the uniform electron gas,” Journal de l’Ecole Polytechnique - Mathematiques, vol. 5, pp. 79–116, 2018.
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2018 | Journal Article | IST-REx-ID: 446 | OA
R. Frank, N. Phan Thanh, and H. Van Den Bosch, “The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory,” Communications on Pure and Applied Mathematics, vol. 71, no. 3, pp. 577–614, 2018.
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2018 | Journal Article | IST-REx-ID: 455 | OA
N. P. Benedikter, J. Sok, and J. Solovej, “The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations,” Annales Henri Poincare, vol. 19, no. 4, pp. 1167–1214, 2018.
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2018 | Thesis | IST-REx-ID: 52 | OA
T. Moser, Point interactions in systems of fermions. IST Austria, 2018.
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2018 | Journal Article | IST-REx-ID: 554 | OA
M. M. Napiórkowski, R. Reuvers, and J. Solovej, “The Bogoliubov free energy functional II: The dilute Limit,” Communications in Mathematical Physics, vol. 360, no. 1, pp. 347–403, 2018.
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2018 | Journal Article | IST-REx-ID: 5983 | OA
E. Yakaboylu, B. Midya, A. Deuchert, N. K. Leopold, and M. Lemeshko, “Theory of the rotating polaron: Spectrum and self-localization,” Physical Review B, vol. 98, no. 22, 2018.
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2018 | Journal Article | IST-REx-ID: 6002 | OA
M. M. Napiórkowski, R. Reuvers, and J. P. Solovej, “The Bogoliubov free energy functional I: Existence of minimizers and phase diagram,” Archive for Rational Mechanics and Analysis, vol. 229, no. 3, pp. 1037–1090, 2018.
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2018 | Journal Article | IST-REx-ID: 295 | OA
D. Lundholm and R. Seiringer, “Fermionic behavior of ideal anyons,” Letters in Mathematical Physics, vol. 108, no. 11, pp. 2523–2541, 2018.
View | Files available | DOI | arXiv
 

2018 | Journal Article | IST-REx-ID: 399 | OA
M. M. Napiórkowski, R. Reuvers, and J. Solovej, “Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation,” EPL, vol. 121, no. 1, p. 10007, 2018.
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2018 | Journal Article | IST-REx-ID: 400 | OA
A. Deuchert, A. Geisinge, C. Hainzl, and M. Loss, “Persistence of translational symmetry in the BCS model with radial pair interaction,” Annales Henri Poincare, vol. 19, no. 5, pp. 1507–1527, 2018.
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2018 | Conference Paper | IST-REx-ID: 11 | OA
N. K. Leopold and P. Pickl, “Mean-field limits of particles in interaction with quantised radiation fields,” presented at the MaLiQS: Macroscopic Limits of Quantum Systems, Munich, Germany, 2018, vol. 270, pp. 185–214.
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2018 | Journal Article | IST-REx-ID: 154 | OA
T. Moser and R. Seiringer, “Stability of the 2+2 fermionic system with point interactions,” Mathematical Physics Analysis and Geometry, vol. 21, no. 3, 2018.
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2017 | Journal Article | IST-REx-ID: 484 | OA
P. Nam and M. M. Napiórkowski, “Bogoliubov correction to the mean-field dynamics of interacting bosons,” Advances in Theoretical and Mathematical Physics, vol. 21, no. 3, pp. 683–738, 2017.
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2017 | Journal Article | IST-REx-ID: 632 | OA
M. Lewin, P. Nam, and N. Rougerie, “A note on 2D focusing many boson systems,” Proceedings of the American Mathematical Society, vol. 145, no. 6, pp. 2441–2454, 2017.
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2017 | Journal Article | IST-REx-ID: 739 | OA
P. Nam and M. M. Napiórkowski, “A note on the validity of Bogoliubov correction to mean field dynamics,” Journal de Mathématiques Pures et Appliquées, vol. 108, no. 5, pp. 662–688, 2017.
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2017 | Journal Article | IST-REx-ID: 741 | OA
T. Moser and R. Seiringer, “Stability of a fermionic N+1 particle system with point interactions,” Communications in Mathematical Physics, vol. 356, no. 1, pp. 329–355, 2017.
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2017 | Journal Article | IST-REx-ID: 912 | OA
A. Deuchert, “A lower bound for the BCS functional with boundary conditions at infinity,” Journal of Mathematical Physics, vol. 58, no. 8, 2017.
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2017 | Journal Article | IST-REx-ID: 997 | OA
E. Yakaboylu, A. Deuchert, and M. Lemeshko, “Emergence of non-abelian magnetic monopoles in a quantum impurity problem,” APS Physics, Physical Review Letters, vol. 119, no. 23, 2017.
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2017 | Journal Article | IST-REx-ID: 1079 | OA
P. Nam and H. Van Den Bosch, “Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges,” Mathematical Physics, Analysis and Geometry, vol. 20, no. 2, 2017.
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2017 | Journal Article | IST-REx-ID: 1120 | OA
X. Li, R. Seiringer, and M. Lemeshko, “Angular self-localization of impurities rotating in a bosonic bath,” Physical Review A, vol. 95, no. 3, 2017.
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2017 | Journal Article | IST-REx-ID: 1198 | OA
T. Moser and R. Seiringer, “Triviality of a model of particles with point interactions in the thermodynamic limit,” Letters in Mathematical Physics, vol. 107, no. 3, pp. 533–552, 2017.
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2016 | Journal Article | IST-REx-ID: 1143 | OA
P. Nam, N. Rougerie, and R. Seiringer, “Ground states of large bosonic systems: The gross Pitaevskii limit revisited,” Analysis and PDE, vol. 9, no. 2, pp. 459–485, 2016.
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2016 | Journal Article | IST-REx-ID: 1259 | OA
G. Bräunlich, C. Hainzl, and R. Seiringer, “Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit,” Mathematical Physics, Analysis and Geometry, vol. 19, no. 2, 2016.
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2016 | Journal Article | IST-REx-ID: 1267 | OA
R. Frank, R. Killip, and P. Nam, “Nonexistence of large nuclei in the liquid drop model,” Letters in Mathematical Physics, vol. 106, no. 8, pp. 1033–1036, 2016.
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2016 | Journal Article | IST-REx-ID: 1291 | OA
A. Giuliani and R. Seiringer, “Periodic striped ground states in Ising models with competing interactions,” Communications in Mathematical Physics, vol. 347, no. 3, pp. 983–1007, 2016.
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2016 | Journal Article | IST-REx-ID: 1422 | OA
R. Frank, C. Hainzl, B. Schlein, and R. Seiringer, “Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations,” Letters in Mathematical Physics, vol. 106, no. 7, pp. 913–923, 2016.
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2016 | Conference Paper | IST-REx-ID: 1428 | OA
M. Könenberg, T. Moser, R. Seiringer, and J. Yngvason, “Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential,” in Journal of Physics: Conference Series, Shanghai, China, 2016, vol. 691, no. 1.
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2016 | Journal Article | IST-REx-ID: 1436 | OA
V. Bach, S. Breteaux, S. P. Petrat, P. Pickl, and T. Tzaneteas, “Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction,” Journal de Mathématiques Pures et Appliquées, vol. 105, no. 1, pp. 1–30, 2016.
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2016 | Journal Article | IST-REx-ID: 1478 | OA
R. Seiringer and S. Warzel, “Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas,” New Journal of Physics, vol. 18, no. 3, 2016.
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2016 | Journal Article | IST-REx-ID: 1486 | OA
C. Hainzl and R. Seiringer, “The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties,” Journal of Mathematical Physics, vol. 57, no. 2, 2016.
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2016 | Journal Article | IST-REx-ID: 1491 | OA
M. Lewin, P. Nam, and N. Rougerie, “The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases,” Transactions of the American Mathematical Society, vol. 368, no. 9, pp. 6131–6157, 2016.
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2016 | Journal Article | IST-REx-ID: 1493 | OA
S. P. Petrat and P. Pickl, “A new method and a new scaling for deriving fermionic mean-field dynamics,” Mathematical Physics, Analysis and Geometry, vol. 19, no. 1, 2016.
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2016 | Journal Article | IST-REx-ID: 1545 | OA
P. Nam, M. M. Napiórkowski, and J. Solovej, “Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations,” Journal of Functional Analysis, vol. 270, no. 11, pp. 4340–4368, 2016.
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2016 | Journal Article | IST-REx-ID: 1620 | OA
R. Frank, C. Hainzl, R. Seiringer, and J. Solovej, “The external field dependence of the BCS critical temperature,” Communications in Mathematical Physics, vol. 342, no. 1, pp. 189–216, 2016.
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2016 | Journal Article | IST-REx-ID: 1622 | OA
D. Lundholm, P. Nam, and F. Portmann, “Fractional Hardy–Lieb–Thirring and related Inequalities for interacting systems,” Archive for Rational Mechanics and Analysis, vol. 219, no. 3, pp. 1343–1382, 2016.
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2015 | Journal Article | IST-REx-ID: 1704 | OA
A. Deuchert, C. Hainzl, and R. Seiringer, “Note on a family of monotone quantum relative entropies,” Letters in Mathematical Physics, vol. 105, no. 10, pp. 1449–1466, 2015.
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2015 | Journal Article | IST-REx-ID: 1807 | OA
M. Goldman and J. Royo-Letelier, “Sharp interface limit for two components Bose-Einstein condensates,” ESAIM - Control, Optimisation and Calculus of Variations, vol. 21, no. 3, pp. 603–624, 2015.
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2015 | Journal Article | IST-REx-ID: 1880 | OA
M. Könenberg, T. Moser, R. Seiringer, and J. Yngvason, “Superfluid behavior of a Bose-Einstein condensate in a random potential,” New Journal of Physics, vol. 17, 2015.
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2015 | Journal Article | IST-REx-ID: 1939
J. Dereziński and M. M. Napiórkowski, “Erratum to: Excitation spectrum of interacting bosons in the Mean-Field Infinite-Volume limit,” Annales Henri Poincare, vol. 16, no. 7, pp. 1709–1711, 2015.
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2015 | Journal Article | IST-REx-ID: 2085 | OA
P. Nam and R. Seiringer, “Collective excitations of Bose gases in the mean-field regime,” Archive for Rational Mechanics and Analysis, vol. 215, no. 2, pp. 381–417, 2015.
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2015 | Journal Article | IST-REx-ID: 473 | OA
M. Lewin, P. Nam, and N. Rougerie, “Derivation of nonlinear gibbs measures from many-body quantum mechanics,” Journal de l’Ecole Polytechnique - Mathematiques, vol. 2, pp. 65–115, 2015.
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2015 | Journal Article | IST-REx-ID: 1572 | OA
M. Correggi, A. Giuliani, and R. Seiringer, “Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet,” Communications in Mathematical Physics, vol. 339, no. 1, pp. 279–307, 2015.
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2015 | Journal Article | IST-REx-ID: 1573 | OA
T. Chen, C. Hainzl, N. Pavlović, and R. Seiringer, “Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti,” Communications on Pure and Applied Mathematics, vol. 68, no. 10, pp. 1845–1884, 2015.
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2014 | Journal Article | IST-REx-ID: 1821 | OA
R. Seiringer, “Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation,” Journal of Mathematical Physics, vol. 55, no. 7, 2014.
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2014 | Journal Article | IST-REx-ID: 1822
V. Jakšić, C. Pillet, and R. Seiringer, “Introduction,” Journal of Mathematical Physics, vol. 55, no. 7, 2014.
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2014 | Journal Article | IST-REx-ID: 1889 | OA
G. Bräunlich, C. Hainzl, and R. Seiringer, “Translation-invariant quasi-free states for fermionic systems and the BCS approximation,” Reviews in Mathematical Physics, vol. 26, no. 7, 2014.
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2014 | Journal Article | IST-REx-ID: 1904 | OA
R. Frank, M. Lewin, É. Lieb, and R. Seiringer, “Strichartz inequality for orthonormal functions,” Journal of the European Mathematical Society, vol. 16, no. 7, pp. 1507–1526, 2014.
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2014 | Journal Article | IST-REx-ID: 1918 | OA
J. Bellazzini, R. Frank, É. Lieb, and R. Seiringer, “Existence of ground states for negative ions at the binding threshold,” Reviews in Mathematical Physics, vol. 26, no. 1, 2014.
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2014 | Journal Article | IST-REx-ID: 1935 | OA
A. Giuliani, É. Lieb, and R. Seiringer, “Formation of stripes and slabs near the ferromagnetic transition,” Communications in Mathematical Physics, vol. 331, no. 1, pp. 333–350, 2014.
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2014 | Journal Article | IST-REx-ID: 2029 | OA
M. Correggi, A. Giuliani, and R. Seiringer, “Validity of spin-wave theory for the quantum Heisenberg model,” EPL, vol. 108, no. 2, 2014.
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2014 | Journal Article | IST-REx-ID: 2186 | OA
T. Chen, C. Hainzl, N. Pavlović, and R. Seiringer, “On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti,” Letters in Mathematical Physics, vol. 104, no. 7, pp. 871–891, 2014.
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2014 | Conference Paper | IST-REx-ID: 8044 | OA
R. Seiringer, “Structure of the excitation spectrum for many-body quantum systems,” in Proceeding of the International Congress of Mathematicans, Seoul, South Korea, 2014, vol. 3, pp. 1175–1194.
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2014 | Conference Paper | IST-REx-ID: 1516 | OA
G. Bräunlich, C. Hainzl, and R. Seiringer, “On the BCS gap equation for superfluid fermionic gases,” in Proceedings of the QMath12 Conference, Berlin, Germany, 2014, pp. 127–137.
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2013 | Journal Article | IST-REx-ID: 2297 | OA
R. Seiringer, “Hot topics in cold gases: A mathematical physics perspective,” Japanese Journal of Mathematics, vol. 8, no. 2, pp. 185–232, 2013.
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2013 | Journal Article | IST-REx-ID: 2300 | OA
A. Giuliani, É. Lieb, and R. Seiringer, “Realization of stripes and slabs in two and three dimensions,” Physical Review B, vol. 88, no. 6, 2013.
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2012 | Journal Article | IST-REx-ID: 2318 | OA
R. Seiringer, “Absence of bound states implies non-negativity of the scattering length,” Journal of Spectral Theory, vol. 2, no. 3, pp. 321–328, 2012.
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