Free energy of a dilute Bose gas: lower bound

DOI10.1007/s00220-008-0428-2zbMath1148.82003arXivmath-ph/0608069OpenAlexW3103301341MaRDI QIDQ926255

Robert Seiringer

Publication date: 27 May 2008

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

Full work available at URL: https://arxiv.org/abs/math-ph/0608069

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Statistical mechanics of gases (82D05)

Related Items (19)

The Bogoliubov free energy functional. II: The dilute limit ⋮ The Bogoliubov free energy functional. I: Existence of minimizers and phase diagram ⋮ Hot topics in cold gases ⋮ Bose-Einstein condensation in a dilute, trapped gas at positive temperature ⋮ Free energies of dilute Bose gases: upper bound ⋮ The Bose gas in a box with Neumann boundary conditions ⋮ Mini-workshop: A geometric fairytale full of spectral gaps and random fruit. Abstracts from the mini-workshop held November 27 -- December 3, 2022 ⋮ THE FREE ENERGY OF THE TWO-DIMENSIONAL DILUTE BOSE GAS. I. LOWER BOUND ⋮ The energy of dilute Bose gases. II: The general case ⋮ The energy of dilute Bose gases ⋮ The free energy of the two-dimensional dilute Bose gas. II. Upper bound ⋮ Ground state energy of the low density Hubbard model ⋮ Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature ⋮ Classical field theory limit of many-body quantum Gibbs states in 2D and 3D ⋮ Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger ⋮ Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons ⋮ Ground state energy of a dilute two-dimensional Bose gas from the Bogoliubov free energy functional ⋮ Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet ⋮ Bose gases, Bose–Einstein condensation, and the Bogoliubov approximation

Cites Work

• Unnamed Item
• The mathematics of the Bose gas and its condensation.
• The thermodynamic pressure of a dilute Fermi gas
• General decomposition of radial functions on \(\mathbb R^n\) and applications to \(N\)-body quantum systems
• The classical limit of quantum spin systems
• Ground-State Energy of a Hard-Sphere Gas
• One-dimensional Bosons in Three-dimensional Traps
• A CORRELATION ESTIMATE FOR QUANTUM MANY-BODY SYSTEMS AT POSITIVE TEMPERATURE
• The ground state energy of a dilute two-dimensional Bose gas.

This page was built for publication: Free energy of a dilute Bose gas: lower bound