Dilations of quantum dynamical semigroups with classical Brownian motion

DOI10.1007/BF01212314zbMath0612.60053OpenAlexW2055220787MaRDI QIDQ1088294

Mark Fannes, Robert Alicki

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf01212314

zbMATH Keywords

non-commutative Itô-calculusone- parameter unitary group acting on the Hilbert spaceone-parameter completely positive and unity preserving semigroup

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Free probability and free operator algebras (46L54) Quantum equilibrium statistical mechanics (general) (82B10) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)

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Cites Work

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• Quantum probability and applications to the quantum theory of irreversible processes. Proceedings of the International Workshop, held at Villa Mondragone, Italy, September 6-11, 1982
• Quantum Ito's formula and stochastic evolutions
• Quantum probability and applications II. Proceedings of the Second Workshop on Quantum Probability and Applications held in Heidelberg, West Germany, October 1-5, 1984
• Fermion Ito's formula and stochastic evolutions
• On dilating quantum dynamical semigroups with classical Brownian motion
• The Ito-Clifford integral
• Markovian master equations
• On the generators of quantum dynamical semigroups
• Properties of quantum Markovian master equations

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