On generalizations of the KMS-boundary condition

DOI10.1007/BF01209627zbMath0506.46058OpenAlexW2046114700MaRDI QIDQ1836855

Yanyan Li

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf01209627

zbMATH Keywords

equivalence of ensemblesdensity matrix for a quantum mechanical systemKMS-boundary condition

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Statistical thermodynamics (82B30) Miscellaneous applications of functional analysis (46N99)

Related Items

Stable thermodynamic states ⋮ Thermodynamics of exotic black holes, negative temperature, and Bekenstein-Hawking entropy

Cites Work

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• A unified approach to classical and quantum K.M.S. theory
• Relaxing the clustering condition in the derivation of the KMS property
• Spectra of Liouville operators
• Conditional equilibrium and the equivalence of microcanonical and grandcanonical ensembles in the thermodynamic limit
• On the equilibrium states in quantum statistical mechanics
• On some groups of automorphisms of von Neumann algebras with cyclic and separating vector
• Asymptotically Abelian systems
• Constraints imposed upon a state of a system that satisfies the K.M.S. boundary condition