Stability properties and the KMS condition
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Publication:1251787
DOI10.1007/BF01940765zbMath0392.46039OpenAlexW2081213634MaRDI QIDQ1251787
Derek W. Robinson, Ola Bratteli, Akitaka Kishimoto
Publication date: 1978
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01940765
ErgodicityC*-Dynamical SystemGround StatesKms ConditionKms StatesL1-Space Asymptotically Abelian SystemsStability PropertiesWeak Three Point Cluster Property
General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05) States of selfadjoint operator algebras (46L30)
Related Items (21)
Return to thermal equilibrium by the solution of a quantum Langevin equation ⋮ Stability and equilibrium of infinite classical systems ⋮ The Green-Kubo formula and the Onsager reciprocity relations in quantum statistical mechanics ⋮ On the stability of KMS states in perturbative algebraic quantum field theories ⋮ Algebraic theory of the chemical potential in the case of the usual gauge group ⋮ Group duality and the Kubo-Martin-Schwinger condition ⋮ Equilibrium and non-equilibrium properties of superfluids and superconductors ⋮ Perturbative algebraic quantum field theory on quantum spacetime: adiabatic and ultraviolet convergence ⋮ Deformations of super-KMS functionals ⋮ Construction of KMS states in perturbative QFT and renormalized Hamiltonian dynamics ⋮ Group duality and the Kubo-Martin Schwinger condition. II ⋮ PASSIVITY OF GROUND STATES OF QUANTUM SYSTEMS ⋮ Central limit theorem for locally interacting Fermi gas ⋮ Thermal state with quadratic interaction ⋮ Stability and related properties of vacua and ground states ⋮ Relative entropy and entropy production for equilibrium states in pAQFT ⋮ Linear response theory for thermally driven quantum open systems ⋮ Equilibrium states in thermal field theory and in algebraic quantum field theory ⋮ Ground states of quantum spin systems ⋮ On states of perfect correlation ⋮ Landau superfluids as nonequilibrium stationary states
Cites Work
- On groups of automorphisms of operator algebras
- Relaxing the clustering condition in the derivation of the KMS property
- Relative Hamiltonian for faithful normal states of a von Neumann algebra
- Energy and momentum as observables in quantum field theory
- Stability, equilibrium and KMS for an infinite classical system
- Une classification des facteurs de type ${\rm III}$
- Return to equilibrium
- Unnamed Item
- Unnamed Item
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