Dirichlet forms and symmetric Markovian semigroups on CCR algebras with respect to quasi-free states

DOI10.1063/1.1532770zbMath1061.60076OpenAlexW2014041156MaRDI QIDQ4832909

Yong Moon Park, Chul Ki Ko, Changsoo Bahn

Publication date: 14 December 2004

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

Full work available at URL: https://semanticscholar.org/paper/4469537ab17b8b9cd1c7a8295a98f0b1f6ce7627

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Probabilistic potential theory (60J45) Quantum stochastic calculus (81S25) Applications of functional analysis in quantum physics (46N50) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items

Quantum Fokker-Planck dynamics ⋮ Dirichlet Forms on Noncommutative Spaces ⋮ DIRICHLET FORMS AND SYMMETRIC MARKOVIAN SEMIGROUPS ON ℤ₂-GRADED VON NEUMANN ALGEBRAS ⋮ Construction of a family of quantum Ornstein–Uhlenbeck semigroups ⋮ The emergence of noncommutative potential theory ⋮ Remarks on the decomposition of Dirichlet forms on standard forms of von Neumann algebras ⋮ REMARKS ON THE STRUCTURE OF DIRICHLET FORMS ON STANDARD FORMS OF VON NEUMANN ALGEBRAS ⋮ Continuity and generators of dynamical semigroups for infinite Bose systems ⋮ Ergodic property of Markovian semigroups on standard forms of von Neumann algebras

Cites Work

• Some properties of modular conjugation operator of von Neumann algebras and a non-commutative Radon-Nikodym theorem with a chain rule
• Tomita's theory of modular Hilbert algebras and its applications
• CONSTRUCTION OF DIRICHLET FORMS ON STANDARD FORMS OF VON NEUMANN ALGEBRAS
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