Robert Seiringer | Academic Influence

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Robert Seiringer

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Physics

Robert Seiringer's Degrees

PhD Physics University of Vienna

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According to Wikipedia, Robert Seiringer is an Austrian mathematical physicist. Life and work Seiringer studied physics at the University of Vienna, where in 1999 he acquired his diploma and in 2000 with Jakob Yngvason as thesis advisor attained a doctorate. In 2005 he attained his habilitation qualification at the University of Vienna. With a Schrödinger scholarship, he went in 2001 to Princeton University. There he became in 2003 assistant professor. Starting from 2010 he is an associate professor at McGill University. In addition he is extraordinarius professor at the University of Vienna. Seiringer made substantial progress in the mathematical theory of quantum gases and particularly Bose–Einstein condensate . He partly proved the existence of BEC for interacting boson gases in the Gross–Pitaevskii limit in collaboration with Elliott Lieb. They proved also superfluidity in this limit and derived the Gross–Pitaevskii equation in the special case of BEC in rotating containers. Since 2013 he is a full professor at the Institute of Science and Technology Austria in Klosterneuburg, Austria.

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Robert Seiringer's Published Works

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Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The Mathematics of the Bose Gas and its Condensation (2005) (525)
Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional (1999) (480)
The Stability of Matter in Quantum Mechanics (2009) (388)
Non-linear ground state representations and sharp Hardy inequalities (2008) (361)
Proof of Bose-Einstein condensation for dilute trapped gases. (2001) (335)
Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators (2006) (301)
Derivation of the Gross-Pitaevskii Equation for Rotating Bose Gases (2005) (190)
A Rigorous Derivation¶of the Gross–Pitaevskii Energy Functional¶for a Two-dimensional Bose Gas (2000) (176)
On the Mass Concentration for Bose–Einstein Condensates with Attractive Interactions (2013) (163)
The Excitation Spectrum for Weakly Interacting Bosons (2010) (141)
Probabilistic Coherence and Proper Scoring Rules (2007) (127)
The Excitation Spectrum for Weakly Interacting Bosons in a Trap (2012) (118)
Lieb–Thirring Inequalities for Schrödinger Operators with Complex-valued Potentials (2006) (105)
Gross-Pitaevskii Theory of the Rotating Bose Gas (2001) (90)
The BCS Functional for General Pair Interactions (2007) (85)
Ground states of large bosonic systems: The gross-pitaevskii limit revisited (2015) (78)
Microscopic Derivation of Ginzburg-Landau Theory (2011) (77)
Justification of c-number substitutions in bosonic Hamiltonians. (2004) (77)
Bose-Einstein quantum phase transition in an optical lattice model (2004) (77)
Unconditional Uniqueness for the Cubic Gross‐Pitaevskii Hierarchy via Quantum de Finetti (2013) (76)
The Ground State Energy of the Weakly Interacting Bose Gas at High Density (2008) (73)
Mass Renormalization and Energy Level Shift in Non-Relativistic QED (2002) (67)
The critical temperature for the BCS equation at weak coupling (2007) (65)
Müller’s exchange-correlation energy in density-matrix-functional theory (2007) (64)
Equivalent Forms of the Bessis–Moussa–Villani Conjecture (2002) (62)
Critical Temperature and Energy Gap for the BCS Equation (2008) (61)
Quantum Hypothesis Testing and Non-Equilibrium Statistical Mechanics (2011) (60)
Ground state asymptotics of a dilute, rotating gas (2003) (60)
One-Dimensional Behavior of Dilute, Trapped Bose Gases (2003) (58)
One-dimensional bosons in three-dimensional traps. (2003) (54)
Strichartz inequality for orthonormal functions (2013) (52)
Ground-state energy of the low-density Fermi gas (2004) (51)
A positive density analogue of the Lieb-Thirring inequality (2011) (51)
On the Critical Temperature of Dilute Bose Gases (2009) (49)
Sharp Fractional Hardy Inequalities in Half-Spaces (2009) (48)
Strongly Correlated Phases in Rapidly Rotating Bose Gases (2009) (45)
Collective Excitations of Bose Gases in the Mean-Field Regime (2014) (43)
General Decomposition of Radial Functions on Rn and Applications to N-Body Quantum Systems (2001) (43)
The BCS Critical Temperature for Potentials with Negative Scattering Length (2008) (42)
The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties (2015) (42)
Decay of correlations and absence of superfluidity in the disordered Tonks–Girardeau gas (2015) (39)
Stability of Relativistic Matter with Magnetic Fields for Nuclear Charges up to the Critical Value (2006) (38)
Stability and absence of binding for multi-polaron systems (2010) (36)
Free Energy of a Dilute Bose Gas: Lower Bound (2006) (36)
Disordered Bose–Einstein condensates with interaction in one dimension (2012) (34)
Statistical Mechanics of the Uniform Electron Gas (2017) (34)
Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime (2009) (33)
Stability of a Fermionic N + 1 Particle System with Point Interactions (2016) (33)
The ground state of the Bose gas (2002) (33)
Poincare Inequalities in Punctured Domains (2002) (33)
Superfluidity in dilute trapped Bose gases (2002) (32)
The local density approximation in density functional theory (2019) (31)
Energy cost to make a hole in the Fermi sea. (2011) (30)
A Nonlinear Model for Relativistic Electrons at Positive Temperature (2008) (29)
Periodic Striped Ground States in Ising Models with Competing Interactions (2015) (29)
Floating Wigner crystal with no boundary charge fluctuations (2019) (29)
Bipolaron and N-polaron binding energies. (2010) (28)
The Lieb-Liniger Model as a Limit of Dilute Bosons in Three Dimensions (2007) (28)
Equivalence of Sobolev inequalities and Lieb-Thirring inequalities (2009) (28)
The Thermodynamic Pressure of a Dilute Fermi Gas (2004) (27)
Lieb-Thirring Inequality for a Model of Particles with Point Interactions (2011) (25)
Asymptotic behavior of eigenvalues of Schrödinger type operators with degenerate kinetic energy (2008) (24)
A sharp bound on eigenvalues of Schroedinger operators on the halfline with complex-valued potentials (2009) (24)
Universal Functionals in Density Functional Theory (2019) (24)
Validity of the Spin-Wave Approximation for the Free Energy of the Heisenberg Ferromagnet (2013) (23)
The Stability of Matter in Quantum Mechanics: List of Symbols (2009) (23)
On the Well-Posedness and Scattering for the Gross–Pitaevskii Hierarchy via Quantum de Finetti (2013) (23)
Translation-invariant quasi-free states for fermionic systems and the BCS approximation (2013) (22)
Stronger subadditivity of entropy (2004) (22)
Low Density Limit of BCS Theory and Bose–Einstein Condensation of Fermion Pairs (2011) (21)
Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature (2018) (21)
The Ground State Energy and Density of Interacting Bosons in a Trap (1999) (20)
Spectral properties of the BCS gap equation of superfluidity (2008) (20)
Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime (2018) (19)
The External Field Dependence of the BCS Critical Temperature (2014) (18)
Hot topics in cold gases (2009) (18)
Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron (2019) (17)
Stability of the 2 + 2 Fermionic System with Point Interactions (2018) (17)
The External Field Dependence of the BCS Critical Temperature (2016) (17)
On the maximal ionization of atoms in strong magnetic fields (2000) (17)
Bose-Einstein Condensation and Spontaneous Symmetry Breaking (2006) (17)
Quantum impurity model for anyons (2019) (17)
Binding of Polarons and Atoms at Threshold (2011) (17)
Asymptotic expansion of low-energy excitations for weakly interacting bosons (2020) (17)
Divergence of the Effective Mass of a Polaron in the Strong Coupling Limit (2019) (17)
Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation (2014) (17)
Inequalities for Schrodinger Operators and Applications to the Stability of Matter Problem (2009) (16)
Emergence of Haldane Pseudo-Potentials in Systems with Short-Range Interactions (2020) (16)
The Landau–Pekar equations : adiabatic theorem and accuracy (2019) (16)
Gross–Pitaevskii Limit of a Homogeneous Bose Gas at Positive Temperature (2019) (16)
Formation of Stripes and Slabs Near the Ferromagnetic Transition (2013) (15)
Existence of ground states for negative ions at the binding threshold (2013) (15)
Validity of spin-wave theory for the quantum Heisenberg model (2014) (15)
Derivation of Ginzburg-Landau Theory for a One-dimensional System with Contact Interaction (2011) (15)
Fermionic behavior of ideal anyons (2017) (14)
The gap equation for spin-polarized fermions (2011) (14)
Number of Bound States of Schrödinger Operators with Matrix-Valued Potentials (2007) (14)
The Quantum-Mechanical Many-Body Problem: The Bose Gas (2004) (14)
Correlation energy of a weakly interacting Fermi gas (2020) (13)
Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron (2020) (13)
a Correlation Estimate for Quantum Many-Body Systems at Positive Temperature (2006) (13)
A Discrete Density Matrix Theory for Atoms¶in Strong Magnetic Fields (2000) (12)
Ground-state energy of the low-density Fermi gas (13 pages) (2005) (12)
Persistence of the spectral gap for the Landau–Pekar equations (2020) (11)
Symmetry of Bipolaron Bound States for Small Coulomb Repulsion (2012) (11)
Dilute, Trapped Bose Gases and Bose-Einstein Condensation (2006) (11)
Superfluid behavior of a Bose–Einstein condensate in a random potential (2014) (11)
Bounds on One-Dimensional Exchange Energies with Application to Lowest Landau Band Quantum Mechanics (2001) (10)
Realization of stripes and slabs in two and three dimensions (2013) (10)
Bogolubov–Hartree–Fock Theory for Strongly Interacting Fermions in the Low Density Limit (2015) (10)
Equivalence of Two Definitions of the Effective Mass of a Polaron (2013) (10)
On the failure of subadditivity of the Wigner–Yanase entropy (2007) (10)
Incompatibility of Time-Dependent Bogoliubov–de-Gennes and Ginzburg–Landau Equations (2015) (9)
The polaron at strong coupling (2019) (9)
Symmetry Breaking and Collapse in Bose-Einstein Condensates with Attractive Interactions (2013) (9)
Ground state properties of multi-polaron systems (2012) (9)
Bosonization of Fermionic Many-Body Dynamics (2021) (9)
Bose-Einstein Condensation as a Quantum Phase Transition in an Optical Lattice (2004) (9)
Microscopic Derivation of the Ginzburg-Landau Model (2012) (8)
On contact interactions as limits of short-range potentials (2013) (8)
Atoms with Bosonic "Electronis" in Strong Magnetic Fields (2000) (7)
Cold Quantum Gases and Bose-Einstein Condensation (2012) (7)
Ground State Energy of the Low Density Hubbard Model (2007) (7)
The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics (2021) (7)
Ground-State Energy of a Dilute Fermi Gas (2005) (7)
Hot topics in cold gases : A mathematical physics perspective (Special Feature : The Takagi Lectures) (2012) (6)
Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron (2022) (6)
Absence of bound states implies non-negativity of the scattering length (2012) (6)
Derivation of the Landau–Pekar Equations in a Many-Body Mean-Field Limit (2020) (6)
Disordered Bose Einstein Condensates with Interaction (2012) (6)
Note on a Family of Monotone Quantum Relative Entropies (2015) (6)
Quantum many-body systems (2012) (6)
Energy Contribution of a Point-Interacting Impurity in a Fermi Gas (2018) (6)
THE FREE ENERGY OF THE TWO-DIMENSIONAL DILUTE BOSE GAS. I. LOWER BOUND (2019) (5)
Large Deviation Estimates for Weakly Interacting Bosons (2021) (5)
Boundary Superconductivity in the BCS Model (2022) (5)
Asymptotic expansion of the low-energy excitation spectrum for weakly interacting bosons (2020) (5)
The Scattering Length at Positive Temperature (2011) (4)
Bose-Einstein Condensation of Dilute Gases in Traps (2002) (4)
Further Implications of the Bessis–Moussa–Villani Conjecture (2012) (4)
Polaron Models with Regular Interactions at Strong Coupling (2021) (4)
Angular self-localization of impurities rotating in a bosonic bath (2016) (4)
The effective mass problem for the Landau–Pekar equations (2021) (4)
The free energy of the two-dimensional dilute Bose gas. II. Upper bound (2020) (4)
Binding, Stability, and Non-binding of Multi-polaron Systems (2010) (4)
Uniqueness and NonDegeneracy of Minimizers of the Pekar Functional on a Ball (2019) (4)
VORTICES AND SPONTANEOUS SYMMETRY BREAKING IN ROTATING BOSE GASES (2008) (4)
The Fr\"ohlich Polaron at Strong Coupling -- Part II: Energy-Momentum Relation and Effective Mass (2022) (3)
Microscopic Derivation of the Fröhlich Hamiltonian for the Bose Polaron in the Mean-Field Limit (2020) (3)
Free energy asymptotics of the quantum Heisenberg spin chain (2019) (3)
The Fr\"ohlich Polaron at Strong Coupling -- Part I: The Quantum Correction to the Classical Energy (2022) (3)
Bosons in a Trap: Asymptotic Exactness of the Gross-Pitaevskii Ground State Energy Formula (2000) (3)
Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion (2023) (3)
Improved Lieb–Oxford bound on the indirect and exchange energies (2022) (2)
Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons (2020) (2)
On the Ordering of Energy Levels in Homogeneous Magnetic Fields (2000) (2)
The BCS Model for General Pair Interactions (2007) (2)
Validity of Bogoliubov’s approximation for translation-invariant Bose gases (2021) (2)
The Bose Gas in a Box with Neumann Boundary Conditions (2022) (2)
Two-Particle Bound States at Interfaces and Corners (2021) (1)
Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature (2018) (1)
A discrete density matrix theory foratoms in strong magnetic (2000) (1)
A simple approach to Lieb--Thirring type inequalities (2023) (1)
Many-Body Quantum Systems (2020) (1)
Low-Temperature Spin-Wave Approximation for the Heisenberg Ferromagnet (2016) (1)
Absence of excited eigenvalues for Fr\"ohlich type polaron models at weak coupling (2022) (1)
Triviality of a model of particles with point interactions in the thermodynamic limit (2016) (1)
The Stability of Matter in Quantum Mechanics: Electrostatic Inequalities (2009) (1)
On the Mass Concentration for Bose–Einstein Condensates with Attractive Interactions (2013) (1)
Superuidity and BEC in a Model of Interacting Bosons in a Random Potential (2015) (1)
The Stability of Matter in Quantum Mechanics: Preface (2009) (1)
Gross–Pitaevskii Limit of a Homogeneous Bose Gas at Positive Temperature (2020) (1)
Obstructions to odd-frequency superconductivity in Eliashberg theory (2022) (1)
The Excitation Spectrum for Weakly Interacting Bosons in a Trap (2013) (1)
On the BCS gap equation for superfluid fermionic gases (2014) (1)
Time-dependent Bogolubov--de-Gennes equations and non-validity of Ginzburg--Landau theory (2015) (1)
Mini-Workshop: Mathematical Approaches to Collective Phenomena in Large Quantum Systems (2008) (0)
Jellium and the Uniform Electron Gas in 2 Dimensions (2020) (0)
General decomposition of radial functions on R^n and refined conditions for positive definiteness (2001) (0)
Quantum Many Body Systems: Cetraro, Italy 2010 (2012) (0)
The Ground State of the Bose GasE (2009) (0)
Incompatibility of Time-Dependent Bogoliubov–de-Gennes and Ginzburg–Landau Equations (2016) (0)
Ubiquity of bound states for the strongly coupled polaron (2022) (0)
Divergence of the Effective Mass of a Polaron in the Strong Coupling Limit (2019) (0)
Gross-Pitaevskii Theory of the (2001) (0)
Low Density Limit of BCS Theory and Bose–Einstein Condensation of Fermion Pairs (2011) (0)
The Stability of Matter in Quantum Mechanics: Prologue (2009) (0)
Hot topics in cold gases (2013) (0)
Condensation of interacting bosons in a random potential (2013) (0)
A mathematical physics perspective (2013) (0)
Binding of Polarons and Atoms at Threshold (2012) (0)
Stability of Relativistic Matter (2009) (0)
The Stability of Matter in Quantum Mechanics: Lieb–Thirring and Related Inequalities (2009) (0)
A Rigorous Derivation of theGross-Pitaevskii Energy Fun tionalfor a Two { dimensional (2007) (0)
Stability of Non-Relativistic Matter (2009) (0)
Validity of the Spin-Wave Approximation for the Free Energy of the Heisenberg Ferromagnet (2015) (0)
On the ordering of energy levels inhomogeneous magneti (2000) (0)
Persistence of the spectral gap for the Landau–Pekar equations (2021) (0)
The Excitation Spectrum for Bose Fluids with Weak Interactions (2014) (0)
Quantum Phases of Cold Bosons in an Optical Lattice (2009) (0)
Prizes awarded by the IAMP (2018) (0)
Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018 (2019) (0)
ofInteracting B osons in a Trap (2021) (0)
On the Well-Posedness and Scattering for the Gross–Pitaevskii Hierarchy via Quantum de Finetti (2014) (0)
Many-Body Quantum Systems and Effective Theories (2016) (0)
One-Dimensional Behavior of Dilute, Trapped (2003) (0)
The Stability of Matter in Quantum Mechanics: Introduction to Elementary Quantum Mechanics and Stability of the First Kind (2009) (0)
Stability of the 2 + 2 Fermionic System with Point Interactions (2018) (0)
0 00 70 07 v 1 5 J ul 2 00 0 Atoms with bosonic “ electrons ” in strong magnetic fields (2000) (0)
The Stability of Matter in Quantum Mechanics: An Estimation of the Indirect Part of the Coulomb Energy (2009) (0)
The Stability of Matter in Quantum Mechanics: The Thermodynamic Limit for Coulomb Systems (2009) (0)
STRONGLY CORRELATED PHASES IN RAPIDLY ROTATING (2009) (0)
SPECIAL ISSUE: NON-EQUILIBRIUM STATISTICAL MECHANICS Introduction (2014) (0)
Collective Excitations of Bose Gases in the Mean-Field Regime (2014) (0)
Quantized Electromagnetic Fields and Stability of Matter (2009) (0)
M ay 2 00 0 A Rigorous Derivation of the Gross-Pitaevskii Energy Functional for a Two-dimensional Bose Gas (1999) (0)
inequality for orthonormal functions (2014) (0)
Bogolubov–Hartree–Fock Theory for Strongly Interacting Fermions in the Low Density Limit (2016) (0)
Stability of a Fermionic N + 1 Particle System with Point Interactions (2017) (0)
Triviality of a model of particles with point interactions in the thermodynamic limit (2016) (0)
Fermionic behavior of ideal anyons (2018) (0)
Introducing PMP (2020) (0)
Energy Contribution of a Point-Interacting Impurity in a Fermi Gas (2019) (0)
Formation of Stripes and Slabs Near the Ferromagnetic Transition (2014) (0)
GAS AN D IT S CON DEN SAT ION (2006) (0)
Talenti’s comparison theorem revisited (2018) (0)
Bounds on One { Dimensional Ex hange Energieswith Appli ation toLowest Landau Band Quantum (2009) (0)
The most negative ion in the Thomas-Fermi-von Weizsacker theory of atoms and molecules (2017) (0)
Condensation of interacting bosons in a random potential (2013) (0)
The ground state energy of the weakly interacting (2008) (0)
Further Implications of the Bessis–Moussa–Villani Conjecture (2012) (0)
Note on a Family of Monotone Quantum Relative Entropies (2015) (0)
Emergence of Haldane Pseudo-Potentials in Systems with Short-Range Interactions (2020) (0)
The Scattering Length at Positive Temperature (2012) (0)
How Much Energy Does it Cost to Make a Hole in the Fermi Sea (2011) (0)
The Ionization Problem, and the Dependence of the Energy on N and M Separately (2009) (0)
The Stability of Matter in Quantum Mechanics: Gravitational Stability of White Dwarfs and Neutron Stars (2009) (0)
Stripe formation at the ferromagnetic transition (2013) (0)
Equivalence of Two Definitions of the Effective Mass of a Polaron (2013) (0)
Bosons in a Trap : A Rigorous Derivation of theGross-Pitaevskii Energy (2009) (0)
Introducing IST Austria (2015) (0)
The Stability of Matter in Quantum Mechanics: Magnetic Fields and the Pauli Operator (2009) (0)
The Stability of Matter in Quantum Mechanics: Bibliography (2009) (0)
One-dimensional behavior of dilute Bose gases in traps (2006) (0)
Symmetry of Bipolaron Bound States for Small Coulomb Repulsion (2012) (0)
The Excitation Spectrum for Bose Fluids with Weak Interactions (2014) (0)
The Stability of Matter in Quantum Mechanics: Many-Particle Systems and Stability of the Second Kind (2009) (0)
The Dirac Operator and the Brown–Ravenhall Model (2009) (0)
The free energy of dilute Bose gases at low temperatures (2023) (0)
Periodic Striped Ground States in Ising Models with Competing Interactions (2016) (0)
Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime (2019) (0)

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Robert Seiringer is affiliated with the following schools:

University of Vienna

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