A spectral characterization of KMS states

DOI10.1007/BF01208567zbMath0507.46053MaRDI QIDQ1837377

Jean De Cannière

Publication date: 1982

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

zbMATH Keywords

KMS statesC*-dynamical systemsGibbs statesnon-commutative infinite quantum systemsspectrally passive states

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Applications of selfadjoint operator algebras to physics (46L60) Quantum equilibrium statistical mechanics (general) (82B10) States of selfadjoint operator algebras (46L30) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (5)

Covariant representations for possibly singular actions on $C^*$-algebras ⋮ Passive quasi-free states of the CAR algebra with discrete Hamiltonians ⋮ The KMS condition and spectral passivity in group duality ⋮ Functional dependence between the Hamiltonian and the modular operator associated with a faithful invariant state of a \(W^*\)-dynamical system ⋮ Passive quasi-free states of the noninteracting Fermi gas

Cites Work

• On groups of automorphisms of operator algebras
• On the equilibrium states in quantum statistical mechanics
• Tomita's theory of modular Hilbert algebras and its applications
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