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61 Publications


2019 | Journal Article | IST-REx-ID: 6840   OA
Mysliwy, Krzysztof, and Marek Napiórkowski. “Thermodynamics of Inhomogeneous Imperfect Quantum Gases in Harmonic Traps.” Journal of Statistical Mechanics: Theory and Experiment, vol. 2019, no. 6, IOP Publishing, 2019, p. 063101, doi:10.1088/1742-5468/ab190d.
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2019 | Journal Article | IST-REx-ID: 6649   OA
Benedikter, Niels P., et al. “Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime.” Communications in Mathematical Physics, Springer, 2019, doi:10.1007/s00220-019-03505-5.
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2019 | Journal Article | IST-REx-ID: 6788   OA
Leopold, Nikolai K., and Sören P. Petrat. “Mean-Field Dynamics for the Nelson Model with Fermions.” Annales Henri Poincare, Springer Nature, 2019, doi:10.1007/s00023-019-00828-w.
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2019 | Journal Article | IST-REx-ID: 5856   OA
Moser, Thomas, and Robert Seiringer. “Energy Contribution of a Point-Interacting Impurity in a Fermi Gas.” Annales Henri Poincare, Springer, 2019, doi:10.1007/s00023-018-00757-0.
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2019 | Journal Article | IST-REx-ID: 6906   OA
Boccato, Chiara, et al. “Optimal Rate for Bose-Einstein Condensation in the Gross-Pitaevskii Regime.” Communications in Mathematical Physics, Springer, 2019, doi:10.1007/s00220-019-03555-9.
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2018 | Conference Paper | IST-REx-ID: 11   OA
Leopold, Nikolai K., and Peter Pickl. Mean-Field Limits of Particles in Interaction with Quantised Radiation Fields. Vol. 270, Springer, 2018, pp. 185–214, doi:10.1007/978-3-030-01602-9_9.
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2018 | Journal Article | IST-REx-ID: 446   OA
Frank, Rupert, et al. “The Ionization Conjecture in Thomas–Fermi–Dirac–von Weizsäcker Theory.” Communications on Pure and Applied Mathematics, vol. 71, no. 3, Wiley-Blackwell, 2018, pp. 577–614, doi:10.1002/cpa.21717.
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2018 | Journal Article | IST-REx-ID: 554   OA
Napiórkowski, Marcin M., et al. “The Bogoliubov Free Energy Functional II: The Dilute Limit.” Communications in Mathematical Physics, vol. 360, no. 1, Springer, 2018, pp. 347–403, doi:10.1007/s00220-017-3064-x.
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2018 | Journal Article | IST-REx-ID: 80   OA
Deuchert, Andreas, et al. “Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature.” Communications in Mathematical Physics, Springer, 2018, doi:10.1007/s00220-018-3239-0.
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2018 | Journal Article | IST-REx-ID: 295   OA
Lundholm, Douglas, and Robert Seiringer. “Fermionic Behavior of Ideal Anyons.” Letters in Mathematical Physics, vol. 108, no. 11, Springer, 2018, pp. 2523–41, doi:10.1007/s11005-018-1091-y.
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2018 | Journal Article | IST-REx-ID: 400   OA
Deuchert, Andreas, et al. “Persistence of Translational Symmetry in the BCS Model with Radial Pair Interaction.” Annales Henri Poincare, vol. 19, no. 5, Springer, 2018, pp. 1507–27, doi:10.1007/s00023-018-0665-7.
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2018 | Journal Article | IST-REx-ID: 455   OA
Benedikter, Niels P., et al. “The Dirac–Frenkel Principle for Reduced Density Matrices and the Bogoliubov–de Gennes Equations.” Annales Henri Poincare, vol. 19, no. 4, Birkhäuser, 2018, pp. 1167–214, doi:10.1007/s00023-018-0644-z.
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2018 | Journal Article | IST-REx-ID: 5983   OA
Yakaboylu, Enderalp, et al. “Theory of the Rotating Polaron: Spectrum and Self-Localization.” Physical Review B, vol. 98, no. 22, 224506, American Physical Society, 2018, doi:10.1103/physrevb.98.224506.
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2018 | Thesis | IST-REx-ID: 52
Moser, Thomas. Point Interactions in Systems of Fermions. IST Austria, 2018, doi:10.15479/AT:ISTA:th_1043.
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2018 | Journal Article | IST-REx-ID: 180   OA
Lewi, Mathieu, et al. “Statistical Mechanics of the Uniform Electron Gas.” Journal de l’Ecole Polytechnique - Mathematiques, vol. 5, Ecole Polytechnique, 2018, pp. 79–116, doi:10.5802/jep.64.
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2018 | Journal Article | IST-REx-ID: 399   OA
Napiórkowski, Marcin M., et al. “Calculation of the Critical Temperature of a Dilute Bose Gas in the Bogoliubov Approximation.” EPL, vol. 121, no. 1, 10007, IOP Publishing Ltd., 2018, doi:10.1209/0295-5075/121/10007.
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2018 | Journal Article | IST-REx-ID: 6002   OA
Napiórkowski, Marcin M., et al. “The Bogoliubov Free Energy Functional I: Existence of Minimizers and Phase Diagram.” Archive for Rational Mechanics and Analysis, vol. 229, no. 3, Springer Nature, 2018, pp. 1037–90, doi:10.1007/s00205-018-1232-6.
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2018 | Journal Article | IST-REx-ID: 154   OA
Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System with Point Interactions.” Mathematical Physics Analysis and Geometry, vol. 21, no. 19, Springer, 2018, doi:10.1007/s11040-018-9275-3.
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2017 | Journal Article | IST-REx-ID: 484   OA
Nam, Phan, and Marcin M. Napiórkowski. “Bogoliubov Correction to the Mean-Field Dynamics of Interacting Bosons.” Advances in Theoretical and Mathematical Physics, vol. 21, no. 3, International Press, 2017, pp. 683–738, doi:10.4310/ATMP.2017.v21.n3.a4.
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2017 | Journal Article | IST-REx-ID: 632   OA
Lewin, Mathieu, et al. “A Note on 2D Focusing Many Boson Systems.” Proceedings of the American Mathematical Society, vol. 145, no. 6, American Mathematical Society, 2017, pp. 2441–54, doi:10.1090/proc/13468.
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2017 | Journal Article | IST-REx-ID: 997   OA
Yakaboylu, Enderalp, et al. “Emergence of Non-Abelian Magnetic Monopoles in a Quantum Impurity Problem.” APS Physics, Physical Review Letters, vol. 119, no. 23, 235301, American Physiological Society, 2017, doi:10.1103/PhysRevLett.119.235301.
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2017 | Journal Article | IST-REx-ID: 1198   OA
Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles with Point Interactions in the Thermodynamic Limit.” Letters in Mathematical Physics, vol. 107, no. 3, Springer, 2017, pp. 533–52, doi:10.1007/s11005-016-0915-x.
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2017 | Journal Article | IST-REx-ID: 1079   OA
Nam, Phan, and Hanne Van Den Bosch. “Nonexistence in Thomas Fermi-Dirac-von Weizsäcker Theory with Small Nuclear Charges.” Mathematical Physics, Analysis and Geometry, vol. 20, no. 2, Springer, 2017, p. 6, doi:10.1007/s11040-017-9238-0.
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2017 | Journal Article | IST-REx-ID: 1120   OA
Li, Xiang, et al. “Angular Self-Localization of Impurities Rotating in a Bosonic Bath.” Physical Review A, vol. 95, no. 3, 033608, American Physical Society, 2017, doi:10.1103/PhysRevA.95.033608.
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2017 | Journal Article | IST-REx-ID: 739   OA
Nam, Phan, and Marcin M. Napiórkowski. “A Note on the Validity of Bogoliubov Correction to Mean Field Dynamics.” Journal de Mathématiques Pures et Appliquées, vol. 108, no. 5, Elsevier, 2017, pp. 662–88, doi:10.1016/j.matpur.2017.05.013.
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2017 | Journal Article | IST-REx-ID: 912   OA
Deuchert, Andreas. “A Lower Bound for the BCS Functional with Boundary Conditions at Infinity.” Journal of Mathematical Physics, vol. 58, no. 8, 081901, AIP, 2017, doi:10.1063/1.4996580.
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2017 | Journal Article | IST-REx-ID: 741   OA
Moser, Thomas, and Robert Seiringer. “Stability of a Fermionic N+1 Particle System with Point Interactions.” Communications in Mathematical Physics, vol. 356, no. 1, Springer, 2017, pp. 329–55, doi:10.1007/s00220-017-2980-0.
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2016 | Journal Article | IST-REx-ID: 1267   OA
Frank, Rupert, et al. “Nonexistence of Large Nuclei in the Liquid Drop Model.” Letters in Mathematical Physics, vol. 106, no. 8, Springer, 2016, pp. 1033–36, doi:10.1007/s11005-016-0860-8.
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2016 | Journal Article | IST-REx-ID: 1143   OA
Nam, Phan, et al. “Ground States of Large Bosonic Systems: The Gross Pitaevskii Limit Revisited.” Analysis and PDE, vol. 9, no. 2, Mathematical Sciences Publishers, 2016, pp. 459–85, doi:10.2140/apde.2016.9.459.
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2016 | Journal Article | IST-REx-ID: 1422   OA
Frank, Rupert, et al. “Incompatibility of Time-Dependent Bogoliubov–de-Gennes and Ginzburg–Landau Equations.” Letters in Mathematical Physics, vol. 106, no. 7, Springer, 2016, pp. 913–23, doi:10.1007/s11005-016-0847-5.
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2016 | Journal Article | IST-REx-ID: 1491   OA
Lewin, Mathieu, et al. “The Mean-Field Approximation and the Non-Linear Schrödinger Functional for Trapped Bose Gases.” Transactions of the American Mathematical Society, vol. 368, no. 9, American Mathematical Society, 2016, pp. 6131–57, doi:10.1090/tran/6537.
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2016 | Journal Article | IST-REx-ID: 1478   OA
Seiringer, Robert, and Simone Warzel. “Decay of Correlations and Absence of Superfluidity in the Disordered Tonks-Girardeau Gas.” New Journal of Physics, vol. 18, no. 3, 035002, IOP Publishing Ltd., 2016, doi:10.1088/1367-2630/18/3/035002.
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2016 | Conference Paper | IST-REx-ID: 1428   OA
Könenberg, Martin, et al. “Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential.” Journal of Physics: Conference Series, vol. 691, no. 1, 012016, IOP Publishing Ltd., 2016, doi:10.1088/1742-6596/691/1/012016.
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2016 | Journal Article | IST-REx-ID: 1620   OA
Frank, Rupert, et al. “The External Field Dependence of the BCS Critical Temperature.” Communications in Mathematical Physics, vol. 342, no. 1, Springer, 2016, pp. 189–216, doi:10.1007/s00220-015-2526-2.
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2016 | Journal Article | IST-REx-ID: 1291   OA
Giuliani, Alessandro, and Robert Seiringer. “Periodic Striped Ground States in Ising Models with Competing Interactions.” Communications in Mathematical Physics, vol. 347, no. 3, Springer, 2016, pp. 983–1007, doi:10.1007/s00220-016-2665-0.
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2016 | Journal Article | IST-REx-ID: 1436   OA
Bach, Volker, et al. “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, Elsevier, 2016, pp. 1–30, doi:10.1016/j.matpur.2015.09.003.
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2016 | Journal Article | IST-REx-ID: 1493   OA
Petrat, Sören P., and Peter Pickl. “A New Method and a New Scaling for Deriving Fermionic Mean-Field Dynamics.” Mathematical Physics, Analysis and Geometry, vol. 19, no. 1, 3, Springer, 2016, doi:10.1007/s11040-016-9204-2.
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2016 | Journal Article | IST-REx-ID: 1486   OA
Hainzl, Christian, and Robert Seiringer. “The Bardeen–Cooper–Schrieffer Functional of Superconductivity and Its Mathematical Properties.” Journal of Mathematical Physics, vol. 57, no. 2, 021101, American Institute of Physics, 2016, doi:10.1063/1.4941723.
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2016 | Journal Article | IST-REx-ID: 1259   OA
Bräunlich, Gerhard, et al. “Bogolubov–Hartree–Fock Theory for Strongly Interacting Fermions in the Low Density Limit.” Mathematical Physics, Analysis and Geometry, vol. 19, no. 2, 13, Springer, 2016, doi:10.1007/s11040-016-9209-x.
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2016 | Journal Article | IST-REx-ID: 1545   OA
Nam, Phan, et al. “Diagonalization of Bosonic Quadratic Hamiltonians by Bogoliubov Transformations.” Journal of Functional Analysis, vol. 270, no. 11, Academic Press, 2016, pp. 4340–68, doi:10.1016/j.jfa.2015.12.007.
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2016 | Journal Article | IST-REx-ID: 1622   OA
Lundholm, Douglas, et al. “Fractional Hardy–Lieb–Thirring and Related Inequalities for Interacting Systems.” Archive for Rational Mechanics and Analysis, vol. 219, no. 3, Springer, 2016, pp. 1343–82, doi:10.1007/s00205-015-0923-5.
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2015 | Journal Article | IST-REx-ID: 1572   OA
Correggi, Michele, et al. “Validity of the Spin-Wave Approximation for the Free Energy of the Heisenberg Ferromagnet.” Communications in Mathematical Physics, vol. 339, no. 1, Springer, 2015, pp. 279–307, doi:10.1007/s00220-015-2402-0.
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2015 | Journal Article | IST-REx-ID: 1573   OA
Chen, Thomas, et al. “Unconditional Uniqueness for the Cubic Gross Pitaevskii Hierarchy via Quantum de Finetti.” Communications on Pure and Applied Mathematics, vol. 68, no. 10, Wiley, 2015, pp. 1845–84, doi:10.1002/cpa.21552.
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2015 | Journal Article | IST-REx-ID: 1807   OA
Goldman, Michael, and Jimena Royo-Letelier. “Sharp Interface Limit for Two Components Bose-Einstein Condensates.” ESAIM - Control, Optimisation and Calculus of Variations, vol. 21, no. 3, EDP Sciences, 2015, pp. 603–24, doi:10.1051/cocv/2014040.
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2015 | Journal Article | IST-REx-ID: 473   OA
Lewin, Mathieu, et al. “Derivation of Nonlinear Gibbs Measures from Many-Body Quantum Mechanics.” Journal de l’Ecole Polytechnique - Mathematiques, vol. 2, Ecole Polytechnique, 2015, pp. 65–115, doi:10.5802/jep.18.
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2015 | Journal Article | IST-REx-ID: 1939
Dereziński, Jan, and Marcin M. Napiórkowski. “Erratum to: Excitation Spectrum of Interacting Bosons in the Mean-Field Infinite-Volume Limit.” Annales Henri Poincare, vol. 16, no. 7, Birkhäuser, 2015, pp. 1709–11, doi:10.1007/s00023-014-0390-9.
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2015 | Journal Article | IST-REx-ID: 1880   OA
Könenberg, Martin, et al. “Superfluid Behavior of a Bose-Einstein Condensate in a Random Potential.” New Journal of Physics, vol. 17, 013022, IOP Publishing Ltd., 2015, doi:10.1088/1367-2630/17/1/013022.
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2015 | Journal Article | IST-REx-ID: 2085   OA
Nam, Phan, and Robert Seiringer. “Collective Excitations of Bose Gases in the Mean-Field Regime.” Archive for Rational Mechanics and Analysis, vol. 215, no. 2, Springer, 2015, pp. 381–417, doi:10.1007/s00205-014-0781-6.
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2015 | Journal Article | IST-REx-ID: 1704   OA
Deuchert, Andreas, et al. “Note on a Family of Monotone Quantum Relative Entropies.” Letters in Mathematical Physics, vol. 105, no. 10, Springer, 2015, pp. 1449–66, doi:10.1007/s11005-015-0787-5.
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2014 | Conference Paper | IST-REx-ID: 1516
Bräunlich, Gerhard, et al. “On the BCS Gap Equation for Superfluid Fermionic Gases.” Proceedings of the QMath12 Conference, edited by Pavel Exner et al., World Scientific Publishing, 2014, pp. 127–37, doi:10.1142/9789814618144_0007 .
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2014 | Journal Article | IST-REx-ID: 1821   OA
Seiringer, Robert. “Bose Gases, Bose-Einstein Condensation, and the Bogoliubov Approximation.” Journal of Mathematical Physics, vol. 55, no. 7, 1.4881536, American Institute of Physics, 2014, doi:10.1063/1.4881536.
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2014 | Journal Article | IST-REx-ID: 1889   OA
Bräunlich, Gerhard, et al. “Translation-Invariant Quasi-Free States for Fermionic Systems and the BCS Approximation.” Reviews in Mathematical Physics, vol. 26, no. 7, 1450012, World Scientific Publishing, 2014, doi:10.1142/S0129055X14500123.
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2014 | Journal Article | IST-REx-ID: 1822
Jakšić, Vojkan, et al. “Introduction.” Journal of Mathematical Physics, vol. 55, no. 7, 075101, American Institute of Physics, 2014, doi:10.1063/1.4884877.
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2014 | Journal Article | IST-REx-ID: 1904   OA
Frank, Rupert, et al. “Strichartz Inequality for Orthonormal Functions.” Journal of the European Mathematical Society, vol. 16, no. 7, European Mathematical Society, 2014, pp. 1507–26, doi:10.4171/JEMS/467.
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2014 | Journal Article | IST-REx-ID: 1935   OA
Giuliani, Alessandro, et al. “Formation of Stripes and Slabs near the Ferromagnetic Transition.” Communications in Mathematical Physics, vol. 331, no. 1, Springer, 2014, pp. 333–50, doi:10.1007/s00220-014-1923-2.
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2014 | Journal Article | IST-REx-ID: 2186   OA
Chen, Thomas, et al. “On the Well-Posedness and Scattering for the Gross-Pitaevskii Hierarchy via Quantum de Finetti.” Letters in Mathematical Physics, vol. 104, no. 7, Springer, 2014, pp. 871–91, doi:10.1007/s11005-014-0693-2.
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2014 | Journal Article | IST-REx-ID: 1918   OA
Bellazzini, Jacopo, et al. “Existence of Ground States for Negative Ions at the Binding Threshold.” Reviews in Mathematical Physics, vol. 26, no. 1, 1350021, World Scientific Publishing, 2014, doi:10.1142/S0129055X13500219.
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2014 | Journal Article | IST-REx-ID: 2029   OA
Correggi, Michele, et al. “Validity of Spin-Wave Theory for the Quantum Heisenberg Model.” EPL, vol. 108, no. 2, 20003, IOP Publishing Ltd., 2014, doi:10.1209/0295-5075/108/20003.
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2013 | Journal Article | IST-REx-ID: 2300   OA
Giuliani, Alessandro, et al. “Realization of Stripes and Slabs in Two and Three Dimensions.” Physical Review B, vol. 88, no. 6, American Physical Society, 2013, p. 064401, doi:10.1103/PhysRevB.88.064401.
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2013 | Journal Article | IST-REx-ID: 2297   OA
Seiringer, Robert. “Hot Topics in Cold Gases: A Mathematical Physics Perspective.” Japanese Journal of Mathematics, vol. 8, no. 2, Springer, 2013, pp. 185–232, doi:10.1007/s11537-013-1264-5.
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2012 | Journal Article | IST-REx-ID: 2318   OA
Seiringer, Robert. “Absence of Bound States Implies Non-Negativity of the Scattering Length.” Journal of Spectral Theory, vol. 2, no. 3, European Mathematical Society, 2012, pp. 321–28, doi:10.4171/JST/31.
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