Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
The ground state energy of a dilute two-dimensional Bose gas. - MaRDI portal

The ground state energy of a dilute two-dimensional Bose gas.

From MaRDI portal
Publication:5942303

DOI10.1023/A:1010337215241zbMath1115.82306arXivmath-ph/0002014OpenAlexW1754442117MaRDI QIDQ5942303

Jakob Yngvason, Elliott H. Lieb

Publication date: 28 August 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0002014




Related Items (39)

Bose–Einstein condensation on hyperbolic spacesFermionic behavior of ideal anyonsRapidly rotating Bose-Einstein condensates in strongly anharmonic trapsLarge deviations for trapped interacting Brownian particles and pathsThe thermodynamic pressure of a dilute Fermi gasHot topics in cold gasesBosons in disc-shaped traps: from 3D to 2DThe excitation spectrum of two-dimensional Bose gases in the Gross-Pitaevskii regimeThe ground state energy of a two-dimensional Bose gasGround state energy of the dilute spin-polarized Fermi gas: upper bound via cluster expansionTHE FREE ENERGY OF THE TWO-DIMENSIONAL DILUTE BOSE GAS. I. LOWER BOUNDEmergence of Haldane pseudo-potentials in systems with short-range interactionsExclusion bounds for extended anyonsAbsence of bound states implies non-negativity of the scattering lengthThe scattering length at positive temperatureFree energy of a dilute Bose gas: lower boundThe free energy of the two-dimensional dilute Bose gas. II. Upper boundNon linear Schrödinger limit of bosonic ground states, againRole of scaling limits in the rigorous analysis of Bose-Einstein condensationGround state energy of the low density Hubbard modelON THE LOW-TEMPERATURE BEHAVIOR OF THE INFINITE-VOLUME IDEAL BOSE GASDerivation of the time dependent two dimensional focusing NLS equationUniversality of low-energy scattering in 2+1 dimensions: The nonsymmetric caseDerivation of the time dependent Gross-Pitaevskii equation in two dimensionsThe ground state energy of dilute Bose gas in potentials with positive scattering lengthAnalysis of a simple equation for the ground state energy of the Bose gasScaling limits of bosonic ground states, from many-body to non-linear SchrödingerBose-Einstein condensation for two dimensional bosons in the Gross-Pitaevskii regimeFractional Hardy-Lieb-Thirring and related inequalities for interacting systemsSemiclassical approximation and critical temperature shift for weakly interacting trapped bosonsDerivation of the Bogoliubov time evolution for a large volume mean-field limitBOSONS IN RAPID ROTATIONGround state energy of dilute Bose gas in small negative potential caseThe BCS critical temperature for potentials with negative scattering lengthGround state energy of a dilute two-dimensional Bose gas from the Bogoliubov free energy functionalLieb-Thirring inequalities for wave functions vanishing on the diagonal setA lower bound on the ground state energy of dilute Bose gasLieb-Thirring bounds for interacting Bose gasesGross-Pitaevskii equation as the mean field limit of weakly coupled bosons




This page was built for publication: The ground state energy of a dilute two-dimensional Bose gas.