A rigorous proof of the Bohr–van Leeuwen theorem in the semiclassical limit

DOI10.1142/S0129055X15500191zbMath1331.81110arXiv1403.2834OpenAlexW3098832958MaRDI QIDQ3451145

Baptiste Savoie

Publication date: 10 November 2015

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

Full work available at URL: https://arxiv.org/abs/1403.2834

zbMATH Keywords

thermodynamic limitsemiclassical limitthermodynamic stabilitygeometric perturbation theoryensemble equivalenceMaxwell-Boltzmann statisticsdiamagnetismBohr-van Leeuven theoremclassical magnetismgauge invariant magnetic perturbation

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum equilibrium statistical mechanics (general) (82B10) Statistical mechanics of solids (82D20) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Statistical mechanics of gases (82D05) Statistical mechanics of magnetic materials (82D40)

Related Items (1)

Statistical physics of flux-carrying Brownian particles

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