Ergodic property of Markovian semigroups on standard forms of von Neumann algebras

DOI10.1063/1.2113067zbMath1111.46044arXivmath-ph/0503044OpenAlexW2070616606MaRDI QIDQ3438687

Yong Moon Park

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/math-ph/0503044

zbMATH Keywords

ergodicityKMS statehigh temperaturesdiffusion type Markov semigroups for quantum spin systems

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) Quantum equilibrium statistical mechanics (general) (82B10) Noncommutative probability and statistics (46L53)

Related Items (2)

Dirichlet Forms on Noncommutative Spaces ⋮ The emergence of noncommutative potential theory

Cites Work

• Unnamed Item
• Markov semigroups KMS-symmetric for a weight
• Dirichlet forms and Markovian semigroups on standard forms of von Neumann algebras
• Some properties of modular conjugation operator of von Neumann algebras and a non-commutative Radon-Nikodym theorem with a chain rule
• KMS-symmetric Markov semigroups
• Spectral analysis and Feller property for quantum Ornstein-Uhlenbeck semigroups
• CONSTRUCTION OF DIRICHLET FORMS ON STANDARD FORMS OF VON NEUMANN ALGEBRAS
• QUANTUM STOCHASTIC DYNAMICS II
• CONSTRUCTION OF UNBOUNDED DIRICHLET FOR ON STANDARD FORMS OF VON NEUMANN ALGEBRAS
• Dirichlet forms and symmetric Markovian semigroups on CCR algebras with respect to quasi-free states
• Construction of a family of quantum Ornstein–Uhlenbeck semigroups
• DIRICHLET FORMS AND SYMMETRIC MARKOVIAN SEMIGROUPS ON ℤ₂-GRADED VON NEUMANN ALGEBRAS

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