Edit Profile (opens in new tab) Seiringer, Robert Co-Author Distance Author ID: seiringer.robert Published as: Seiringer, Robert; Seiringer, R. External Links: MGP · Wikidata · GND · IdRef · theses.fr Videos: carmin.tv Documents Indexed: 178 Publications since 1999, including 2 Books and 31 Additional arXiv Preprints 6 Contributions as Editor Co-Authors: 74 Co-Authors with 160 Joint Publications 1,866 Co-Co-Authors all top 5 Co-Authors 24 single-authored 52 Lieb, Elliott Hershel 34 Hainzl, Christian 29 Frank, Rupert L. 21 Yngvason, Jakob 14 Solovej, Jan Philip 13 Lewin, Mathieu 10 Schlein, Benjamin 7 Giuliani, Alessandro 7 Phan Thành Nam 5 Deuchert, Andreas 5 Moser, Thomas 5 Rademacher, Simone 4 Benedikter, Niels 4 Bräunlich, Gerhard 4 Feliciangeli, Dario 4 Laptev, Ari 4 Lauritsen, Asbjørn Bækgaard 4 Mitrouskas, David 4 Porta, Marcello 4 Roos, Barbara 4 Thomas, Lawrence E. 3 Aizenman, Michael 3 Brooks, Morris 3 Correggi, Michele 3 Leopold, Nikolai 3 Myśliwy, Krzysztof 3 Warzel, Simone 2 Baumgartner, Bernhard 2 Chen, Thomas 2 Erdős, László 2 Jakšić, Vojkan 2 Lundholm, Douglas 2 Mayer, Simon 2 Pavlović, Nataša 2 Pillet, Claude-Alain 2 Rougerie, Nicolas 2 Yin, Jun 2 Zagrebnov, Valentin A. 1 Adams, Stefan 1 Balatsky, Alexander V. 1 Barton, Nick H. 1 Bellazzini, Jacopo 1 Biskup, Marek 1 Boccato, Chiara 1 Boßmann, Lea 1 Carlen, Eric Anders 1 Edelsbrunner, Herbert 1 Freiji, Abraham 1 Ghazaryan, Areg 1 Giacomelli, Emanuela L. 1 Grech, Philip D. 1 Guo, Yujin 1 Haberberger, Florian 1 Hamza, Eman 1 Hausel, Tamás 1 Könenberg, Martin 1 Kulkarni, Sanjeev R. 1 Landon, Benjamin A. 1 Langmann, Edwin 1 Lemeshko, Mikhail 1 Maas, Jan 1 Naboko, Serguei N. 1 Napiórkowski, Marcin 1 Ogata, Yoshiko 1 Osherson, Daniel N. 1 Petrat, Sören 1 Poor, Harold Vincent 1 Predd, Joel B. 1 Siedentop, Heinz Karl Heinrich 1 Triay, Arnaud 1 Ueltschi, Daniel 1 Uhler, Caroline 1 Wagner, Uli 1 Yakaboylu, Enderalp all top 5 Serials 22 Communications in Mathematical Physics 18 Letters in Mathematical Physics 10 Journal of Statistical Physics 6 Journal of Mathematical Physics 6 Reviews in Mathematical Physics 5 Archive for Rational Mechanics and Analysis 5 Journal of Functional Analysis 5 Annales Henri Poincaré 4 Oberwolfach Reports 4 Forum of Mathematics, Sigma 3 Journal of Spectral Theory 3 Pure and Applied Analysis 2 Communications on Pure and Applied Mathematics 2 Journal of the American Mathematical Society 2 Journal of Physics A: Mathematical and General 2 Mathematical Physics, Analysis and Geometry 2 Analysis & PDE 1 IEEE Transactions on Information Theory 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Reports on Mathematical Physics 1 Duke Mathematical Journal 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Mathematische Nachrichten 1 Internationale Mathematische Nachrichten 1 The Journal of Geometric Analysis 1 SIAM Journal on Mathematical Analysis 1 Notices of the American Mathematical Society 1 European Mathematical Society Newsletter 1 Methods of Functional Analysis and Topology 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Oberwolfach Seminars 1 Journal of Physics A: Mathematical and Theoretical 1 Japanese Journal of Mathematics. 3rd Series 1 Physical Review A, Third Series 1 Journal de l’École Polytechnique – Mathématiques 1 Probability and Mathematical Physics all top 5 Fields 108 Statistical mechanics, structure of matter (82-XX) 107 Quantum theory (81-XX) 54 Partial differential equations (35-XX) 37 Functional analysis (46-XX) 13 Operator theory (47-XX) 7 General and overarching topics; collections (00-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Optics, electromagnetic theory (78-XX) 4 Probability theory and stochastic processes (60-XX) 4 Information and communication theory, circuits (94-XX) 3 History and biography (01-XX) 3 Real functions (26-XX) 3 Fluid mechanics (76-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 132 Publications have been cited 2,948 times in 1,553 Documents Cited by ▼ Year ▼ The mathematics of the Bose gas and its condensation. Zbl 1104.82012 Lieb, Elliott H.; Seiringer, Robert; Solovej, Jan Philip; Yngvason, Jakob 252 2005 Nonlinear ground state representations and sharp Hardy inequalities. Zbl 1189.26031 Frank, Rupert L.; Seiringer, Robert 246 2008 Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators. Zbl 1202.35146 Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert 193 2008 On the mass concentration for Bose-Einstein condensates with attractive interactions. Zbl 1311.35241 Guo, Yujin; Seiringer, Robert 153 2014 The stability of matter in quantum mechanics. Zbl 1179.81004 Lieb, Elliott H.; Seiringer, Robert 112 2009 Derivation of the Gross-Pitaevskii equation for rotating Bose gases. Zbl 1233.82004 Lieb, Elliott H.; Seiringer, Robert 107 2006 The excitation spectrum for weakly interacting bosons. Zbl 1226.82039 Seiringer, Robert 93 2011 A rigorous derivation of the Gross-Pitaevskii energy functional for a two-dimensional Bose gas. Zbl 0996.82010 Lieb, Elliott H.; Seiringer, Robert; Yngvason, Jakob 90 2001 The excitation spectrum for weakly interacting Bosons in a trap. Zbl 1273.82007 Grech, Philip; Seiringer, Robert 80 2013 Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials. Zbl 1160.81382 Frank, Rupert L.; Laptev, Ari; Lieb, Elliott H.; Seiringer, Robert 59 2006 Ground states of large bosonic systems: the Gross-Pitaevskii limit revisited. Zbl 1342.35284 Phan Thánh Nam; Rougerie, Nicolas; Seiringer, Robert 58 2016 Unconditional uniqueness for the cubic Gross-Pitaevskii hierarchy via quantum de Finetti. Zbl 1326.35332 Chen, Thomas; Hainzl, Christian; Pavlović, Nataša; Seiringer, Robert 43 2015 Gross-Pitaevskii theory of the rotating Bose gas. Zbl 1004.82003 Seiringer, Robert 42 2002 The BCS functional for general pair interactions. Zbl 1161.82027 Hainzl, Christian; Hamza, Eman; Seiringer, Robert; Solovej, Jan Philip 41 2008 The ground state energy and density of interacting bosons in a trap. Zbl 1043.82515 Lieb, Elliott H.; Seiringer, Robert; Yngvason, Jakob 39 2000 Quantum hypothesis testing and non-equilibrium statistical mechanics. Zbl 1253.82052 Jakšić, V.; Ogata, Y.; Pillet, C.-A.; Seiringer, R. 37 2012 Microscopic derivation of Ginzburg-Landau theory. Zbl 1251.35156 Frank, Rupert L.; Hainzl, Christian; Seiringer, Robert; Solovej, Jan Philip 36 2012 The critical temperature for the BCS equation at weak coupling. Zbl 1137.82025 Frank, Rupert L.; Hainzl, Christian; Naboko, Serguei; Seiringer, Robert 36 2007 The ground state energy of the weakly interacting Bose gas at high density. Zbl 1172.82006 Giuliani, Alessandro; Seiringer, Robert 35 2009 Sharp fractional Hardy inequalities in half-spaces. Zbl 1185.26044 Frank, Rupert L.; Seiringer, Robert 34 2010 Strichartz inequality for orthonormal functions. Zbl 1307.35245 Frank, Rupert L.; Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert 34 2014 Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. Zbl 1436.81161 Benedikter, Niels; Phan Thành Nam; Porta, Marcello; Schlein, Benjamin; Seiringer, Robert 30 2020 Bose-Einstein condensation of dilute gases in traps. Zbl 1041.81107 Lieb, Elliott H.; Seiringer, Robert 28 2003 The BCS critical temperature for potentials with negative scattering length. Zbl 1164.81006 Hainzl, Christian; Seiringer, Robert 28 2008 The local density approximation in density functional theory. Zbl 1435.35320 Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert 28 2020 Free energy of a dilute Bose gas: lower bound. Zbl 1148.82003 Seiringer, Robert 26 2008 Probabilistic coherence and proper scoring rules. Zbl 1367.94139 Predd, Joel B.; Seiringer, Robert; Lieb, Elliott H.; Osherson, Daniel N.; Poor, H. Vincent; Kulkarni, Sanjeev R. 26 2009 Asymptotic expansion of low-energy excitations for weakly interacting bosons. Zbl 1460.81123 Boßmann, Lea; Petrat, Sören; Seiringer, Robert 26 2021 A positive density analogue of the Lieb-Thirring inequality. Zbl 1260.35088 Frank, Rupert L.; Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert 25 2013 Collective excitations of Bose gases in the mean-field regime. Zbl 1317.35213 Phan Thành Nam; Seiringer, Robert 25 2015 The Bardeen-Cooper-Schrieffer functional of superconductivity and its mathematical properties. Zbl 1360.81315 Hainzl, C.; Seiringer, R. 24 2016 Equivalent forms of the Bessis-Moussa-Villani conjecture. Zbl 1157.81313 Lieb, Elliott H.; Seiringer, Robert 24 2004 One-dimensional behavior of dilute, trapped Bose gases. Zbl 1075.82002 Lieb, Elliott H.; Seiringer, Robert; Yngvason, Jakob 23 2004 General decomposition of radial functions on \(\mathbb R^n\) and applications to \(N\)-body quantum systems. Zbl 1016.81059 Hainzl, Christian; Seiringer, Robert 23 2002 Ground state asymptotics of a dilute, rotating gas. Zbl 1151.82401 Seiringer, Robert 22 2003 Stability of a fermionic \({N+ 1}\) particle system with point interactions. Zbl 1375.81260 Moser, Thomas; Seiringer, Robert 21 2017 Strongly correlated phases in rapidly rotating Bose gases. Zbl 1183.82006 Lewin, Mathieu; Seiringer, Robert 21 2009 Stability of relativistic matter with magnetic fields for nuclear charges up to the critical value. Zbl 1135.81030 Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert 21 2007 Correlation energy of a weakly interacting Fermi gas. Zbl 1484.82006 Benedikter, Niels; Nam, Phan Thành; Porta, Marcello; Schlein, Benjamin; Seiringer, Robert 20 2021 Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature. Zbl 1439.82006 Deuchert, Andreas; Seiringer, Robert 20 2020 A sharp bound on eigenvalues of Schrödinger operators on the half-line with complex-valued potentials. Zbl 1253.35086 Frank, Rupert L.; Laptev, Ari; Seiringer, Robert 19 2011 Equivalence of Sobolev inequalities and Lieb-Thirring inequalities. Zbl 1203.81072 Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert 19 2010 Bose-Einstein condensation in a dilute, trapped gas at positive temperature. Zbl 1435.81061 Deuchert, Andreas; Seiringer, Robert; Yngvason, Jakob 19 2019 Statistical mechanics of the uniform electron gas. (Mécanique statistique pour le gaz uniforme d’électrons.) Zbl 1404.82003 Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert 18 2018 Poincaré inequalities in punctured domains. Zbl 1048.26012 Lieb, Elliott H.; Seiringer, Robert; Yngvason, Jakob 17 2003 The thermodynamic pressure of a dilute Fermi gas. Zbl 1113.82009 Seiringer, Robert 17 2006 A nonlinear model for relativistic electrons at positive temperature. Zbl 1156.81372 Hainzl, Christian; Lewin, Mathieu; Seiringer, Robert 16 2008 Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. Zbl 1467.82092 Frank, Rupert L.; Seiringer, Robert 16 2021 Divergence of the effective mass of a polaron in the strong coupling limit. Zbl 1446.81045 Lieb, Elliott H.; Seiringer, Robert 16 2020 Stability and absence of binding for multi-polaron systems. Zbl 1227.82083 Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert; Thomas, Lawrence E. 16 2011 Periodic striped ground states in Ising models with competing interactions. Zbl 1351.82019 Giuliani, Alessandro; Seiringer, Robert 16 2016 Bose-Einstein condensation as a quantum phase transition in an optical lattice. Zbl 1170.82325 Aizenman, M.; Lieb, E. H.; Seiringer, R.; Solovej, J. P.; Yngvason, J. 15 2006 Asymptotic behavior of eigenvalues of Schrödinger type operators with degenerate kinetic energy. Zbl 1193.58003 Hainzl, Christian; Seiringer, Robert 15 2010 Lieb-Thirring inequality for a model of particles with point interactions. Zbl 1278.81061 Frank, Rupert L.; Seiringer, Robert 15 2012 Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet. Zbl 1321.82040 Correggi, Michele; Giuliani, Alessandro; Seiringer, Robert 13 2015 The external field dependence of the BCS critical temperature. Zbl 1334.82080 Frank, Rupert L.; Hainzl, Christian; Seiringer, Robert; Solovej, Jan Philip 13 2016 Emergence of Haldane pseudo-potentials in systems with short-range interactions. Zbl 1447.81228 Seiringer, Robert; Yngvason, Jakob 13 2020 On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti. Zbl 1297.35214 Chen, Thomas; Hainzl, Christian; Pavlović, Nataša; Seiringer, Robert 13 2014 Low density limit of BCS theory and Bose-Einstein condensation of fermion pairs. Zbl 1253.82116 Hainzl, Christian; Seiringer, Robert 13 2012 Persistence of the spectral gap for the Landau-Pekar equations. Zbl 1469.35183 Feliciangeli, Dario; Rademacher, Simone; Seiringer, Robert 12 2021 The Lieb-Liniger model as a limit of dilute bosons in three dimensions. Zbl 1165.82006 Seiringer, Robert; Yin, Jun 11 2008 Stability of the \(2+2\) fermionic system with point interactions. Zbl 1394.81121 Moser, Thomas; Seiringer, Robert 11 2018 Translation-invariant quasi-free states for fermionic systems and the BCS approximation. Zbl 1327.82099 Bräunlich, Gerhard; Hainzl, Christian; Seiringer, Robert 11 2014 Spectral properties of the BCS gap equation of superfluidity. Zbl 1156.82413 Hainzl, Christian; Seiringer, Robert 10 2008 Equivalence of two definitions of the effective mass of a polaron. Zbl 1295.81055 Lieb, Elliott H.; Seiringer, Robert 10 2014 Bosonization of fermionic many-body dynamics. Zbl 1495.81107 Benedikter, Niels; Nam, Phan Thành; Porta, Marcello; Schlein, Benjamin; Seiringer, Robert 10 2022 The polaron at strong coupling. Zbl 1499.81069 Seiringer, Robert 9 2021 Formation of stripes and slabs near the ferromagnetic transition. Zbl 1302.82018 Giuliani, Alessandro; Lieb, Elliott H.; Seiringer, Robert 9 2014 Binding of polarons and atoms at threshold. Zbl 1250.82046 Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert 9 2012 Correlation energy of a weakly interacting Fermi gas with large interaction potential. Zbl 1530.81162 Benedikter, Niels; Porta, Marcello; Schlein, Benjamin; Seiringer, Robert 9 2023 Bose-Einstein condensation and spontaneous symmetry breaking. Zbl 1160.82308 Lieb, Elliott H.; Seiringer, Robert; Yngvason, Jakob 8 2007 Fermionic behavior of ideal anyons. Zbl 1402.81269 Lundholm, Douglas; Seiringer, Robert 8 2018 The quantum-mechanical many-body problem: the Bose gas. Zbl 1113.82007 Lieb, Elliott H.; Seiringer, Robert; Solovej, Jan Philip; Yngvason, Jakob 7 2005 Stronger subadditivity of entropy. Zbl 1227.82012 Lieb, Elliott H.; Seiringer, Robert 7 2005 The strongly coupled polaron on the torus: quantum corrections to the Pekar asymptotics. Zbl 1484.82063 Feliciangeli, Dario; Seiringer, Robert 7 2021 Landau-Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. Zbl 1491.35362 Leopold, Nikolai; Mitrouskas, David; Rademacher, Simone; Schlein, Benjamin; Seiringer, Robert 7 2021 Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics. Zbl 0983.81123 Hainzl, Christian; Seiringer, Robert 6 2001 Bogolubov-Hartree-Fock theory for strongly interacting fermions in the low density limit. Zbl 1413.82010 Bräunlich, Gerhard; Hainzl, Christian; Seiringer, Robert 6 2016 Number of bound states of Schrödinger operators with matrix-valued potentials. Zbl 1135.35052 Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert 6 2007 The free energy of the two-dimensional dilute Bose gas. II: Upper bound. Zbl 1452.82002 Mayer, Simon; Seiringer, Robert 6 2020 Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction. Zbl 1277.82073 Frank, Rupert L.; Hainzl, Christian; Seiringer, Robert; Solovej, Jan Philip 6 2013 Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation. Zbl 1294.81386 Seiringer, Robert 6 2014 The Bose gas in a box with Neumann boundary conditions. Zbl 1522.81792 Boccato, Chiara; Seiringer, Robert 6 2023 A correlation estimate for quantum many-body systems at positive temperature. Zbl 1102.82003 Seiringer, Robert 6 2006 On the maximal ionization of atoms in strong magnetic fields. Zbl 1002.81053 Seiringer, Robert 6 2001 Disordered Bose Einstein condensates with interaction. Zbl 1302.81097 Seiringer, R.; Yngvason, J.; Zagrebnov, V. A. 6 2014 The free energy of the two-dimensional dilute Bose gas. I: Lower bound. Zbl 1442.82001 Deuchert, Andreas; Mayer, Simon; Seiringer, Robert 6 2020 Derivation of the Landau-Pekar equations in a many-body mean-field limit. Zbl 1473.35468 Leopold, Nikolai; Mitrouskas, David; Seiringer, Robert 6 2021 The Landau-Pekar equations: adiabatic theorem and accuracy. Zbl 1492.35241 Leopold, Nikolai; Rademacher, Simone; Schlein, Benjamin; Seiringer, Robert 6 2021 Polaron models with regular interactions at strong coupling. Zbl 07445224 Myśliwy, Krzysztof; Seiringer, Robert 6 2022 A discrete density matrix theory for atoms in strong magnetic fields. Zbl 1004.81040 Hainzl, Christian; Seiringer, Robert 5 2001 One-dimensional behavior of dilute Bose gases in traps. Zbl 1106.82004 Seiringer, Robert; Lieb, Elliott H.; Yngvason, Jakob 5 2005 Existence of ground states for negative ions at the binding threshold. Zbl 1302.81099 Bellazzini, Jacopo; Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert 5 2014 On the failure of subadditivity of the Wigner-Yanase entropy. Zbl 1123.81014 Seiringer, Robert 5 2007 Hot topics in cold gases. Zbl 1462.82005 Seiringer, Robert 5 2010 The gap equation for spin-polarized fermions. Zbl 1273.82012 Freiji, Abraham; Hainzl, Christian; Seiringer, Robert 5 2012 Ground state properties of multi-polaron systems. Zbl 1304.82075 Frank, R. L.; Lieb, E. H.; Seiringer, R.; Thomas, L. E. 5 2014 The effective mass problem for the Landau-Pekar equations. Zbl 1499.35519 Feliciangeli, Dario; Rademacher, Simone; Seiringer, Robert 5 2022 Ground state energy of the low density Hubbard model. Zbl 1144.82017 Seiringer, Robert; Yin, Jun 4 2008 The ground state of the Bose gas. Zbl 1111.82300 Lieb, Elliot H.; Seiringer, Robert; Solovej, Jan Philip; Yngvason, Jakob 4 2001 Ground state energy of the dilute spin-polarized Fermi gas: upper bound via cluster expansion. Zbl 1544.81232 Lauritsen, Asbjørn Bækgaard; Seiringer, Robert 4 2024 Correlation energy of a weakly interacting Fermi gas with large interaction potential. Zbl 1530.81162 Benedikter, Niels; Porta, Marcello; Schlein, Benjamin; Seiringer, Robert 9 2023 The Bose gas in a box with Neumann boundary conditions. Zbl 1522.81792 Boccato, Chiara; Seiringer, Robert 6 2023 Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron. Zbl 1525.81020 Mitrouskas, David; Myśliwy, Krzysztof; Seiringer, Robert 4 2023 The Fröhlich polaron at strong coupling. I: The quantum correction to the classical energy. Zbl 1534.81173 Brooks, Morris; Seiringer, Robert 3 2023 A simple approach to Lieb-Thirring type inequalities. Zbl 1532.81033 Seiringer, Robert; Solovej, Jan Philip 1 2023 Bosonization of fermionic many-body dynamics. Zbl 1495.81107 Benedikter, Niels; Nam, Phan Thành; Porta, Marcello; Schlein, Benjamin; Seiringer, Robert 10 2022 Polaron models with regular interactions at strong coupling. Zbl 07445224 Myśliwy, Krzysztof; Seiringer, Robert 6 2022 The effective mass problem for the Landau-Pekar equations. Zbl 1499.35519 Feliciangeli, Dario; Rademacher, Simone; Seiringer, Robert 5 2022 Validity of Bogoliubov’s approximation for translation-invariant Bose gases. Zbl 1515.81241 Brooks, Morris; Seiringer, Robert 3 2022 Large deviation estimates for weakly interacting bosons. Zbl 1508.35188 Rademacher, Simone; Seiringer, Robert 3 2022 Boundary superconductivity in the BCS model. Zbl 1530.81071 Hainzl, Christian; Roos, Barbara; Seiringer, Robert 2 2022 Improved Lieb-Oxford bound on the indirect and exchange energies. Zbl 1497.82002 Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert 1 2022 The physics and mathematics of Elliott Lieb. The 90th anniversary. Volume I. Zbl 1491.46002 1 2022 Two-particle bound states at interfaces and corners. Zbl 1491.81018 Roos, Barbara; Seiringer, Robert 1 2022 Asymptotic expansion of low-energy excitations for weakly interacting bosons. Zbl 1460.81123 Boßmann, Lea; Petrat, Sören; Seiringer, Robert 26 2021 Correlation energy of a weakly interacting Fermi gas. Zbl 1484.82006 Benedikter, Niels; Nam, Phan Thành; Porta, Marcello; Schlein, Benjamin; Seiringer, Robert 20 2021 Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. Zbl 1467.82092 Frank, Rupert L.; Seiringer, Robert 16 2021 Persistence of the spectral gap for the Landau-Pekar equations. Zbl 1469.35183 Feliciangeli, Dario; Rademacher, Simone; Seiringer, Robert 12 2021 The polaron at strong coupling. Zbl 1499.81069 Seiringer, Robert 9 2021 The strongly coupled polaron on the torus: quantum corrections to the Pekar asymptotics. Zbl 1484.82063 Feliciangeli, Dario; Seiringer, Robert 7 2021 Landau-Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. Zbl 1491.35362 Leopold, Nikolai; Mitrouskas, David; Rademacher, Simone; Schlein, Benjamin; Seiringer, Robert 7 2021 Derivation of the Landau-Pekar equations in a many-body mean-field limit. Zbl 1473.35468 Leopold, Nikolai; Mitrouskas, David; Seiringer, Robert 6 2021 The Landau-Pekar equations: adiabatic theorem and accuracy. Zbl 1492.35241 Leopold, Nikolai; Rademacher, Simone; Schlein, Benjamin; Seiringer, Robert 6 2021 Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons. Zbl 1469.82018 Deuchert, Andreas; Seiringer, Robert 3 2021 Free energy asymptotics of the quantum Heisenberg spin chain. Zbl 1467.82101 Napiórkowski, Marcin; Seiringer, Robert 3 2021 Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. Zbl 1436.81161 Benedikter, Niels; Phan Thành Nam; Porta, Marcello; Schlein, Benjamin; Seiringer, Robert 30 2020 The local density approximation in density functional theory. Zbl 1435.35320 Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert 28 2020 Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature. Zbl 1439.82006 Deuchert, Andreas; Seiringer, Robert 20 2020 Divergence of the effective mass of a polaron in the strong coupling limit. Zbl 1446.81045 Lieb, Elliott H.; Seiringer, Robert 16 2020 Emergence of Haldane pseudo-potentials in systems with short-range interactions. Zbl 1447.81228 Seiringer, Robert; Yngvason, Jakob 13 2020 The free energy of the two-dimensional dilute Bose gas. II: Upper bound. Zbl 1452.82002 Mayer, Simon; Seiringer, Robert 6 2020 The free energy of the two-dimensional dilute Bose gas. I: Lower bound. Zbl 1442.82001 Deuchert, Andreas; Mayer, Simon; Seiringer, Robert 6 2020 Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. Zbl 1433.49005 Feliciangeli, Dario; Seiringer, Robert 4 2020 Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit. Zbl 1454.82035 Myśliwy, Krzysztof; Seiringer, Robert 2 2020 Bose-Einstein condensation in a dilute, trapped gas at positive temperature. Zbl 1435.81061 Deuchert, Andreas; Seiringer, Robert; Yngvason, Jakob 19 2019 Energy contribution of a point-interacting impurity in a Fermi gas. Zbl 1411.81086 Moser, Thomas; Seiringer, Robert 2 2019 Statistical mechanics of the uniform electron gas. (Mécanique statistique pour le gaz uniforme d’électrons.) Zbl 1404.82003 Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert 18 2018 Stability of the \(2+2\) fermionic system with point interactions. Zbl 1394.81121 Moser, Thomas; Seiringer, Robert 11 2018 Fermionic behavior of ideal anyons. Zbl 1402.81269 Lundholm, Douglas; Seiringer, Robert 8 2018 Stability of a fermionic \({N+ 1}\) particle system with point interactions. Zbl 1375.81260 Moser, Thomas; Seiringer, Robert 21 2017 Triviality of a model of particles with point interactions in the thermodynamic limit. Zbl 1364.81121 Moser, Thomas; Seiringer, Robert 2 2017 Ground states of large bosonic systems: the Gross-Pitaevskii limit revisited. Zbl 1342.35284 Phan Thánh Nam; Rougerie, Nicolas; Seiringer, Robert 58 2016 The Bardeen-Cooper-Schrieffer functional of superconductivity and its mathematical properties. Zbl 1360.81315 Hainzl, C.; Seiringer, R. 24 2016 Periodic striped ground states in Ising models with competing interactions. Zbl 1351.82019 Giuliani, Alessandro; Seiringer, Robert 16 2016 The external field dependence of the BCS critical temperature. Zbl 1334.82080 Frank, Rupert L.; Hainzl, Christian; Seiringer, Robert; Solovej, Jan Philip 13 2016 Bogolubov-Hartree-Fock theory for strongly interacting fermions in the low density limit. Zbl 1413.82010 Bräunlich, Gerhard; Hainzl, Christian; Seiringer, Robert 6 2016 Incompatibility of time-dependent Bogoliubov-de-Gennes and Ginzburg-Landau equations. Zbl 1358.82041 Frank, Rupert L.; Hainzl, Christian; Schlein, Benjamin; Seiringer, Robert 3 2016 Unconditional uniqueness for the cubic Gross-Pitaevskii hierarchy via quantum de Finetti. Zbl 1326.35332 Chen, Thomas; Hainzl, Christian; Pavlović, Nataša; Seiringer, Robert 43 2015 Collective excitations of Bose gases in the mean-field regime. Zbl 1317.35213 Phan Thành Nam; Seiringer, Robert 25 2015 Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet. Zbl 1321.82040 Correggi, Michele; Giuliani, Alessandro; Seiringer, Robert 13 2015 Note on a family of monotone quantum relative entropies. Zbl 1325.81032 Deuchert, Andreas; Hainzl, Christian; Seiringer, Robert 3 2015 On the BCS gap equation for superfluid fermionic gases. Zbl 1343.82059 Bräunlich, G.; Hainzl, C.; Seiringer, R. 1 2015 On the mass concentration for Bose-Einstein condensates with attractive interactions. Zbl 1311.35241 Guo, Yujin; Seiringer, Robert 153 2014 Strichartz inequality for orthonormal functions. Zbl 1307.35245 Frank, Rupert L.; Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert 34 2014 On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti. Zbl 1297.35214 Chen, Thomas; Hainzl, Christian; Pavlović, Nataša; Seiringer, Robert 13 2014 Translation-invariant quasi-free states for fermionic systems and the BCS approximation. Zbl 1327.82099 Bräunlich, Gerhard; Hainzl, Christian; Seiringer, Robert 11 2014 Equivalence of two definitions of the effective mass of a polaron. Zbl 1295.81055 Lieb, Elliott H.; Seiringer, Robert 10 2014 Formation of stripes and slabs near the ferromagnetic transition. Zbl 1302.82018 Giuliani, Alessandro; Lieb, Elliott H.; Seiringer, Robert 9 2014 Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation. Zbl 1294.81386 Seiringer, Robert 6 2014 Disordered Bose Einstein condensates with interaction. Zbl 1302.81097 Seiringer, R.; Yngvason, J.; Zagrebnov, V. A. 6 2014 Existence of ground states for negative ions at the binding threshold. Zbl 1302.81099 Bellazzini, Jacopo; Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert 5 2014 Ground state properties of multi-polaron systems. Zbl 1304.82075 Frank, R. L.; Lieb, E. H.; Seiringer, R.; Thomas, L. E. 5 2014 The excitation spectrum for weakly interacting Bosons in a trap. Zbl 1273.82007 Grech, Philip; Seiringer, Robert 80 2013 A positive density analogue of the Lieb-Thirring inequality. Zbl 1260.35088 Frank, Rupert L.; Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert 25 2013 Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction. Zbl 1277.82073 Frank, Rupert L.; Hainzl, Christian; Seiringer, Robert; Solovej, Jan Philip 6 2013 Symmetry of bipolaron bound states for small Coulomb repulsion. Zbl 1269.82064 Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert 4 2013 Hot topics in cold gases. Zbl 1288.82005 Seiringer, Robert 3 2013 On contact interactions as limits of short-range potentials. Zbl 1313.81009 Bräunlich, Gerhard; Hainzl, Christian; Seiringer, Robert 3 2013 Quantum hypothesis testing and non-equilibrium statistical mechanics. Zbl 1253.82052 Jakšić, V.; Ogata, Y.; Pillet, C.-A.; Seiringer, R. 37 2012 Microscopic derivation of Ginzburg-Landau theory. Zbl 1251.35156 Frank, Rupert L.; Hainzl, Christian; Seiringer, Robert; Solovej, Jan Philip 36 2012 Lieb-Thirring inequality for a model of particles with point interactions. Zbl 1278.81061 Frank, Rupert L.; Seiringer, Robert 15 2012 Low density limit of BCS theory and Bose-Einstein condensation of fermion pairs. Zbl 1253.82116 Hainzl, Christian; Seiringer, Robert 13 2012 Binding of polarons and atoms at threshold. Zbl 1250.82046 Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert 9 2012 The gap equation for spin-polarized fermions. Zbl 1273.82012 Freiji, Abraham; Hainzl, Christian; Seiringer, Robert 5 2012 The scattering length at positive temperature. Zbl 1252.82018 Landon, Benjamin; Seiringer, Robert 4 2012 Cold quantum gases and Bose-Einstein condensation. Zbl 1291.82016 Seiringer, Robert 2 2012 Absence of bound states implies non-negativity of the scattering length. Zbl 1250.81121 Seiringer, Robert 1 2012 Further implications of the Bessis-Moussa-Villani conjecture. Zbl 1257.82009 Lieb, Elliott H.; Seiringer, Robert 1 2012 The excitation spectrum for weakly interacting bosons. Zbl 1226.82039 Seiringer, Robert 93 2011 A sharp bound on eigenvalues of Schrödinger operators on the half-line with complex-valued potentials. Zbl 1253.35086 Frank, Rupert L.; Laptev, Ari; Seiringer, Robert 19 2011 Stability and absence of binding for multi-polaron systems. Zbl 1227.82083 Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert; Thomas, Lawrence E. 16 2011 Binding, stability, and non-binding of multi-polaron systems. Zbl 1245.82073 Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert; Thomas, Lawrence E. 3 2011 Sharp fractional Hardy inequalities in half-spaces. Zbl 1185.26044 Frank, Rupert L.; Seiringer, Robert 34 2010 Equivalence of Sobolev inequalities and Lieb-Thirring inequalities. Zbl 1203.81072 Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert 19 2010 Asymptotic behavior of eigenvalues of Schrödinger type operators with degenerate kinetic energy. Zbl 1193.58003 Hainzl, Christian; Seiringer, Robert 15 2010 Hot topics in cold gases. Zbl 1462.82005 Seiringer, Robert 5 2010 Inequalities for Schrödinger operators and applications to the stability of matter problem. Zbl 1218.81046 Seiringer, Robert 2 2010 The stability of matter in quantum mechanics. Zbl 1179.81004 Lieb, Elliott H.; Seiringer, Robert 112 2009 The ground state energy of the weakly interacting Bose gas at high density. Zbl 1172.82006 Giuliani, Alessandro; Seiringer, Robert 35 2009 Probabilistic coherence and proper scoring rules. Zbl 1367.94139 Predd, Joel B.; Seiringer, Robert; Lieb, Elliott H.; Osherson, Daniel N.; Poor, H. Vincent; Kulkarni, Sanjeev R. 26 2009 Strongly correlated phases in rapidly rotating Bose gases. Zbl 1183.82006 Lewin, Mathieu; Seiringer, Robert 21 2009 Nonlinear ground state representations and sharp Hardy inequalities. Zbl 1189.26031 Frank, Rupert L.; Seiringer, Robert 246 2008 Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators. Zbl 1202.35146 Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert 193 2008 The BCS functional for general pair interactions. Zbl 1161.82027 Hainzl, Christian; Hamza, Eman; Seiringer, Robert; Solovej, Jan Philip 41 2008 The BCS critical temperature for potentials with negative scattering length. Zbl 1164.81006 Hainzl, Christian; Seiringer, Robert 28 2008 Free energy of a dilute Bose gas: lower bound. Zbl 1148.82003 Seiringer, Robert 26 2008 A nonlinear model for relativistic electrons at positive temperature. Zbl 1156.81372 Hainzl, Christian; Lewin, Mathieu; Seiringer, Robert 16 2008 The Lieb-Liniger model as a limit of dilute bosons in three dimensions. Zbl 1165.82006 Seiringer, Robert; Yin, Jun 11 2008 Spectral properties of the BCS gap equation of superfluidity. Zbl 1156.82413 Hainzl, Christian; Seiringer, Robert 10 2008 ...and 32 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,505 Authors 87 Seiringer, Robert 51 Frank, Rupert L. 44 Schlein, Benjamin 39 Phan Thành Nam 39 Rougerie, Nicolas 32 Hainzl, Christian 27 Guo, Yujin 27 Lewin, Mathieu 24 Lieb, Elliott Hershel 23 Correggi, Michele 23 Solovej, Jan Philip 19 Zeng, Xiaoyu 18 Yngvason, Jakob 17 Fournais, Søren 15 Abdellaoui, Boumediene 15 Chen, Xuwen 15 Laptev, Ari 13 Cenatiempo, Serena 13 Lundholm, Douglas 13 Michelangeli, Alessandro 13 Napiórkowski, Marcin 13 Pavlović, Nataša 13 Pickl, Peter 13 Zhou, Huan-Song 12 Brennecke, Christian 12 Chen, Thomas 12 Lam, Nguyen 12 Peral Alonso, Ireneo 11 Benedikter, Niels 11 Deuchert, Andreas 11 Luo, Yong 11 Mitrouskas, David 11 Olgiati, Alessandro 10 Bao, Weizhu 10 Dinh, Van Duong 10 Leopold, Nikolai 10 Petrat, Sören 10 Pillet, Claude-Alain 10 Sohinger, Vedran 10 Squassina, Marco 10 Valdinoci, Enrico 10 Wang, Qingxuan 9 Boccato, Chiara 9 Boßmann, Lea 9 Brasco, Lorenzo 9 Dipierro, Serena 9 Hong, Younghun 9 Jakšić, Vojkan 9 Kerner, Joachim 9 Lampart, Jonas 9 Porta, Marcello 9 Triay, Arnaud 8 Basti, Giulia 8 Cuenin, Jean-Claude 8 Fröhlich, Jürg Martin 8 Henning, Patrick 8 Holmer, Justin 8 Kaleta, Kamil 8 Li, Shuai 8 Lu, Guozhen 8 Machedon, Matei 8 Nguyen, Dinh-Thi 8 Primo, Ana R. M. 8 Suragan, Durvudkhan 8 Wei, Juncheng 8 Yang, Jianfu 8 Zhu, Xincai 7 Cinti, Eleonora 7 Erdős, László 7 Falconi, Marco 7 Giuliani, Alessandro 7 Hajaiej, Hichem 7 Jakubowski, Tomasz 7 Kassymov, Aidyn Adilovich 7 Korotyaev, Evgeny L. 7 Merz, Konstantin 7 Rademacher, Simone 7 Sabin, Julien 7 Siedentop, Heinz Karl Heinrich 7 Soffer, Avraham 7 Staffilani, Gigliola 7 Su, Yu 7 Teta, Alessandro 7 Yau, Horng-Tzer 6 Albeverio, Sergio A. 6 Bhakta, Mousomi 6 Bogdan, Krzysztof 6 Bru, Jean-Bernard 6 Chen, Haibo 6 Deng, Yinbin 6 Griesemer, Marcel 6 Hansmann, Marcel 6 Keller, Matthias 6 Komech, Alexander Ilich 6 Lauritsen, Asbjørn Bækgaard 6 Lu, Lu 6 Nachtergaele, Bruno 6 Nguyen Tuan Duy 6 Peterseim, Daniel 6 Pettigrew, Richard ...and 1,405 more Authors all top 5 Cited in 269 Serials 117 Journal of Mathematical Physics 90 Communications in Mathematical Physics 69 Annales Henri Poincaré 62 Journal of Functional Analysis 59 Journal of Statistical Physics 53 Letters in Mathematical Physics 43 Calculus of Variations and Partial Differential Equations 35 Archive for Rational Mechanics and Analysis 33 Reviews in Mathematical Physics 32 Journal of Differential Equations 29 Journal of Mathematical Analysis and Applications 28 SIAM Journal on Mathematical Analysis 25 Nonlinear Analysis. 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Mathematical Models & Methods in Applied Sciences 5 Topological Methods in Nonlinear Analysis 5 Electronic Journal of Differential Equations (EJDE) 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Revista Matemática Complutense 5 Mediterranean Journal of Mathematics 5 Discrete and Continuous Dynamical Systems. Series S 5 Probability and Mathematical Physics 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Illinois Journal of Mathematics 4 Journal of the London Mathematical Society. Second Series 4 Applied Mathematics Letters 4 Journal of the American Mathematical Society 4 Stochastic Processes and their Applications 4 Annales de l’Institut Henri Poincaré. 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Matematica e Applicazioni 3 St. Petersburg Mathematical Journal ...and 169 more Serials all top 5 Cited in 56 Fields 895 Partial differential equations (35-XX) 613 Quantum theory (81-XX) 515 Statistical mechanics, structure of matter (82-XX) 202 Operator theory (47-XX) 196 Functional analysis (46-XX) 121 Real functions (26-XX) 106 Probability theory and stochastic processes (60-XX) 96 Calculus of variations and optimal control; optimization (49-XX) 52 Numerical analysis (65-XX) 39 Dynamical systems and ergodic theory (37-XX) 32 Harmonic analysis on Euclidean spaces (42-XX) 29 Ordinary differential equations (34-XX) 29 Global analysis, analysis on manifolds (58-XX) 29 Information and communication theory, circuits (94-XX) 28 Potential theory (31-XX) 27 Fluid mechanics (76-XX) 25 Integral equations (45-XX) 25 Differential geometry (53-XX) 23 Statistics (62-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 20 Optics, electromagnetic theory (78-XX) 18 Difference and functional equations (39-XX) 17 Mechanics of particles and systems (70-XX) 16 Measure and integration (28-XX) 13 Abstract harmonic analysis (43-XX) 12 Functions of a complex variable (30-XX) 12 Special functions (33-XX) 12 Operations research, mathematical programming (90-XX) 10 Topological groups, Lie groups (22-XX) 10 Relativity and gravitational theory (83-XX) 9 Mathematical logic and foundations (03-XX) 9 Combinatorics (05-XX) 9 Integral transforms, operational calculus (44-XX) 9 Convex and discrete geometry (52-XX) 9 Computer science (68-XX) 9 Astronomy and astrophysics (85-XX) 8 Mechanics of deformable solids (74-XX) 7 General and overarching topics; collections (00-XX) 6 Group theory and generalizations (20-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 History and biography (01-XX) 5 Number theory (11-XX) 5 Commutative algebra (13-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Algebraic geometry (14-XX) 3 Manifolds and cell complexes (57-XX) 3 Biology and other natural sciences (92-XX) 2 Associative rings and algebras (16-XX) 2 Geometry (51-XX) 2 Systems theory; control (93-XX) 1 General algebraic systems (08-XX) 1 Nonassociative rings and algebras (17-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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