Functional dependence between the Hamiltonian and the modular operator associated with a faithful invariant state of a \(W^*\)-dynamical system

DOI10.2977/PRIMS/1195181829zbMath0573.46039OpenAlexW2114507495MaRDI QIDQ1063211

Jean De Cannière

Publication date: 1984

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195181829

zbMATH Keywords

KMS conditionmodular operator\(W^*\)-dynamical systemArveson spectral subspacestrongly n-spectrally passive

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Applications of selfadjoint operator algebras to physics (46L60) Quantum equilibrium statistical mechanics (general) (82B10) Miscellaneous applications of functional analysis (46N99)

Related Items (2)

A proposal for the thermodynamics of certain open systems ⋮ Bose-Einstein condensation and condensation of \(q\)-particles in equilibrium and nonequilibrium thermodynamics

Cites Work

• Unnamed Item
• The KMS condition and passive states
• On groups of automorphisms of operator algebras
• Relative entropy of states of von Neumann algebras
• A spectral characterization of KMS states
• Relative Hamiltonian for faithful normal states of a von Neumann algebra
• Tomita's theory of modular Hilbert algebras and its applications
• Passivity and equilibrium for classical Hamiltonian systems

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