A CORRELATION ESTIMATE FOR QUANTUM MANY-BODY SYSTEMS AT POSITIVE TEMPERATURE

DOI10.1142/S0129055X06002632zbMath1102.82003arXivmath-ph/0601051OpenAlexW3099897657MaRDI QIDQ5484724

Robert Seiringer

Publication date: 21 August 2006

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

Full work available at URL: https://arxiv.org/abs/math-ph/0601051

zbMATH Keywords

relative entropyCoulomb systemsquantum perturbation theory

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Applications of functional analysis in quantum physics (46N50) Statistical mechanics of gases (82D05)

Related Items (6)

THE FREE ENERGY OF THE TWO-DIMENSIONAL DILUTE BOSE GAS. I. LOWER BOUND ⋮ Free energy of a dilute Bose gas: lower bound ⋮ Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature ⋮ Symmetry breaking in the periodic Thomas-Fermi-Dirac-von Weizsäcker model ⋮ 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

Cites Work

• The thermodynamic pressure of a dilute Fermi gas
• Error bound for the Hartree-Fock energy of atoms and molecules
• Completely positive maps and entropy inequalities
• On the number of bound states of a bosonic \(N\)-particle Coulomb system
• The thermodynamic limit for jellium
• General decomposition of radial functions on \(\mathbb R^n\) and applications to \(N\)-body quantum systems
• The classical limit of quantum spin systems
• A CORRELATION ESTIMATE WITH APPLICATIONS TO QUANTUM SYSTEMS WITH COULOMB INTERACTIONS
• Ground state energy of the one-component charged Bose gas.

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