The ground state energy of a two-dimensional Bose gas

DOI10.1007/S00220-023-04907-2arXiv2206.11100OpenAlexW4392092650MaRDI QIDQ6119422

Lukas Junge, Marco Olivieri, Théotime Girardot, Léo Morin, Søren Fournais

Publication date: 1 March 2024

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.11100

Mathematics Subject Classification ID

Equilibrium statistical mechanics (82Bxx) Applications of statistical mechanics to specific types of physical systems (82Dxx) Applications of quantum theory to specific physical systems (81Vxx)

Cites Work

• Unnamed Item
• The scattering length at positive temperature
• The mathematics of the Bose gas and its condensation.
• The second order upper bound for the ground energy of a Bose gas
• Ground state energy of the two-component charged Bose gas
• The Bogoliubov free energy functional. II: The dilute limit
• The Bogoliubov free energy functional. I: Existence of minimizers and phase diagram
• Bose-Einstein condensation for two dimensional bosons in the Gross-Pitaevskii regime
• The energy of dilute Bose gases
• The second-order correction to the ground state energy of the dilute Bose gas
• A second order upper bound for the ground state energy of a hard-sphere gas in the Gross-Pitaevskii regime
• The energy of dilute Bose gases. II: The general case
• Ground-State Energy of a Hard-Sphere Gas
• Eigenvalues and Eigenfunctions of a Bose System of Hard Spheres and Its Low-Temperature Properties
• A CORRELATION ESTIMATE WITH APPLICATIONS TO QUANTUM SYSTEMS WITH COULOMB INTERACTIONS
• A new second-order upper bound for the ground state energy of dilute Bose gases
• Bogoliubov theory in the Gross-Pitaevskii limit: a simplified approach
• Ground state energy of a dilute two-dimensional Bose gas from the Bogoliubov free energy functional
• Distributions, partial differential equations, and harmonic analysis
• The ground state energy of a dilute two-dimensional Bose gas.
• The excitation spectrum of two-dimensional Bose gases in the Gross-Pitaevskii regime

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