Related references
Note: Only part of the references are listed.Bose-Einstein Condensation Beyond the Gross-Pitaevskii Regime
Arka Adhikari et al.
ANNALES HENRI POINCARE (2021)
Two-term expansion of the ground state one-body density matrix of a mean-field Bose gas
Phan Thanh Nam et al.
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2021)
Optimal Rate for Bose-Einstein Condensation in the Gross-Pitaevskii Regime
Chiara Boccato et al.
COMMUNICATIONS IN MATHEMATICAL PHYSICS (2020)
The Second-Order Correction to the Ground State Energy of the Dilute Bose Gas
Birger Brietzke et al.
ANNALES HENRI POINCARE (2020)
Derivation of the Bogoliubov Time Evolution for a Large Volume Mean-Field Limit
Soeren Petrat et al.
ANNALES HENRI POINCARE (2020)
Higher Order Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons
Lea Bossmann et al.
JOURNAL OF STATISTICAL PHYSICS (2020)
A Simple 2nd Order Lower Bound to the Energy of Dilute Bose Gases
Birger Brietzke et al.
COMMUNICATIONS IN MATHEMATICAL PHYSICS (2020)
The excitation spectrum of Bose gases interacting through singular potentials
Chiara Boccato et al.
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY (2020)
The energy of dilute Bose gases
Soren Fournais et al.
ANNALS OF MATHEMATICS (2020)
Bogoliubov corrections and trace norm convergence for the Hartree dynamics
David Mitrouskas et al.
REVIEWS IN MATHEMATICAL PHYSICS (2019)
Fluctuations of N-particle quantum dynamics around the nonlinear Schrodinger equation
Christian Brennecke et al.
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE (2019)
ASYMPTOTIC EXPANSION OF THE MEAN-FIELD APPROXIMATION
Thierry Paul et al.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2019)
Binding energy of homogeneous Bose gases
Phan Thanh Nam
LETTERS IN MATHEMATICAL PHYSICS (2018)
Complete Bose-Einstein Condensation in the Gross-Pitaevskii Regime
Chiara Boccato et al.
COMMUNICATIONS IN MATHEMATICAL PHYSICS (2018)
Quantum Many-Body Fluctuations Around Nonlinear Schrodinger Dynamics
Chiara Boccato et al.
ANNALES HENRI POINCARE (2017)
Pair excitations and the mean field approximation of interacting Bosons, II
M. Grillakis et al.
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS (2017)
A note on the validity of Bogoliubov correction to mean-field dynamics
Phan Thanh Nam et al.
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES (2017)
Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations
Phan Thanh Nam et al.
JOURNAL OF FUNCTIONAL ANALYSIS (2016)
GROUND STATES OF LARGE BOSONIC SYSTEMS: THE GROSS-PITAEVSKII LIMIT REVISITED
Phan Thanh Nam et al.
ANALYSIS & PDE (2016)
Collective Excitations of Bose Gases in the Mean-Field Regime
Phan Thanh Nam et al.
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2015)
Bogoliubov Spectrum of Interacting Bose Gases
Mathieu Lewin et al.
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS (2015)
Derivation of Hartree's theory for generic mean-field Bose systems
Mathieu Lewin et al.
ADVANCES IN MATHEMATICS (2014)
Excitation Spectrum of Interacting Bosons in the Mean-Field Infinite-Volume Limit
Jan Derezinski et al.
ANNALES HENRI POINCARE (2014)
Renormalization Theory of a Two Dimensional Bose Gas: Quantum Critical Point and Quasi-Condensed State
S. Cenatiempo et al.
JOURNAL OF STATISTICAL PHYSICS (2014)
The Excitation Spectrum for Weakly Interacting Bosons in a Trap
Philip Grech et al.
COMMUNICATIONS IN MATHEMATICAL PHYSICS (2013)
Pair Excitations and the Mean Field Approximation of Interacting Bosons, I
M. Grillakis et al.
COMMUNICATIONS IN MATHEMATICAL PHYSICS (2013)
Second-order corrections to mean field evolution of weakly interacting Bosons. II
M. Grillakis et al.
ADVANCES IN MATHEMATICS (2011)
The Excitation Spectrum for Weakly Interacting Bosons
Robert Seiringer
COMMUNICATIONS IN MATHEMATICAL PHYSICS (2011)
Second-Order Corrections to Mean Field Evolution of Weakly Interacting Bosons. I.
Manoussos G. Grillakis et al.
COMMUNICATIONS IN MATHEMATICAL PHYSICS (2010)
The Second Order Upper Bound for the Ground Energy of a Bose Gas
Horng-Tzer Yau et al.
JOURNAL OF STATISTICAL PHYSICS (2009)
The Ground State Energy of the Weakly Interacting Bose Gas at High Density
Alessandro Giuliani et al.
JOURNAL OF STATISTICAL PHYSICS (2009)
Ground-state energy of a low-density Bose gas: A second-order upper bound
Laszlo Erdos et al.
PHYSICAL REVIEW A (2008)
Upper bounds to the ground state energies of the one- and two-component charged Bose gases
Jan Philip Solovej
COMMUNICATIONS IN MATHEMATICAL PHYSICS (2006)
Derivation of the Gross-Pitaevskii equation for rotating Bose gases
EH Lieb et al.
COMMUNICATIONS IN MATHEMATICAL PHYSICS (2006)
Ground state energy of the two-component charged Bose gas
EH Lieb et al.
COMMUNICATIONS IN MATHEMATICAL PHYSICS (2004)
Ground-state energy of a homogeneous Bose-Einstein condensate beyond Bogoliubov
C Weiss et al.
EUROPHYSICS LETTERS (2004)
Proof of Bose-Einstein condensation for dilute trapped gases
EH Lieb et al.
PHYSICAL REVIEW LETTERS (2002)
Nonuniversal effects in the homogeneous Bose gas
E Braaten et al.
PHYSICAL REVIEW A (2001)
Ground state energy of the one-component charged Bose gas
EH Lieb et al.
COMMUNICATIONS IN MATHEMATICAL PHYSICS (2001)
Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional
EH Lieb et al.
PHYSICAL REVIEW A (2000)
Share Paper
