Geometrization of statistical mechanics

DOI10.1098/rspa.1999.0376zbMath1006.82004arXivgr-qc/9708032OpenAlexW2168142107MaRDI QIDQ4260262

Lane P. Hughston, Dorje C. Brody

Publication date: 16 March 2003

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9708032

zbMATH Keywords

quantum dynamicsequilibrium statistical mechanics\(C^*\) algebrasHamiltonian gradient flowHilbert-space geometryKMS relation

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Applications of selfadjoint operator algebras to physics (46L60) Quantum equilibrium statistical mechanics (general) (82B10) Applications of global differential geometry to the sciences (53C80) Applications of functional analysis in statistical physics (46N55)

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