W*-KMS structure from multi-time Euclidean Green functions

DOI10.1063/1.530675zbMath0822.46067OpenAlexW2027843625MaRDI QIDQ4837128

Roman Gielerak, Robert Olkiewicz, Lech Jakóbczyk

Publication date: 4 July 1995

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

Full work available at URL: https://doi.org/10.1063/1.530675

zbMATH Keywords

canonical group of modular automorphismsequilibrium states describing continuous systems of quantum particlesreconstruction of a dynamics from the euclidean multi-time Green functions

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Applications of selfadjoint operator algebras to physics (46L60) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) States of selfadjoint operator algebras (46L30)

Related Items (6)

Gentle perturbations of the free Bose gas. The critical regime ⋮ THERMAL QUANTUM FIELDS WITHOUT CUT-OFFS IN 1+1 SPACE-TIME DIMENSIONS ⋮ Covariant representations for possibly singular actions on $C^*$-algebras ⋮ Euclidean Gibbs measures of interacting quantum anharmonic oscillators ⋮ Stochastically positive structures on Weyl algebras. The case of quasi-free states ⋮ Gentle perturbations of the free Bose gas. I.

Cites Work

• Construction of a unique self-adjoint generator for a symmetric local semigroup
• Stochastic processes associated with KMS states
• Greens functions, Hamiltonians and modular automorphisms
• On one-parameter groups of automorphisms, and extensions of symmetric operators associated with unbounded derivations in operator algebras
• Homogeneous random fields and statistical mechanics
• Existence of Green's functions for dilute Bose gases
• Reconstruction of Kubo–Martin–Schwinger structure from Euclidean Green functions
• Reduced Density Matrices of Quantum Gases. I. Limit of Infinite Volume
• Multiple time analyticity of a quantum statistical state satisfying the {${\rm KMS}$} boundary condition
• Time Translations in the Algebraic Formulation of Statistical Mechanics

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