Construction of a family of quantum Ornstein–Uhlenbeck semigroups

DOI10.1063/1.1641150zbMath1070.81080OpenAlexW1992390730MaRDI QIDQ4833314

Chul Ki Ko, Yong Moon Park

Publication date: 15 December 2004

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

Full work available at URL: https://doi.org/10.1063/1.1641150

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Noncommutative probability and statistics (46L53) Quantum stochastic calculus (81S25) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (4)

Dirichlet Forms on Noncommutative Spaces ⋮ The emergence of noncommutative potential theory ⋮ REMARKS ON THE STRUCTURE OF DIRICHLET FORMS ON STANDARD FORMS OF VON NEUMANN ALGEBRAS ⋮ Ergodic property of Markovian semigroups on standard forms of von Neumann algebras

Cites Work

• 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
• Quantum stochastic processes

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