FEYNMAN–KAC REPRESENTATION AND MARKOV PROPERTY OF SEMIGROUPS GENERATED BY NONCOMMUTATIVE ELLIPTIC OPERATORS

DOI10.1142/S0219025703001067zbMath1065.46048OpenAlexW2084572108MaRDI QIDQ3043493

Changsoo Bahn, Yong Moon Park

Publication date: 6 August 2004

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025703001067

zbMATH Keywords

Markovian semigroupsunitary evolutionscocycle relationnoncommutative elliplic operatorsquantum Feynman--Kac formula

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Noncommutative dynamical systems (46L55) Quantum stochastic calculus (81S25) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Related Items (2)

REMARKS ON SUFFICIENT CONDITIONS FOR CONSERVATIVITY OF MINIMAL QUANTUM DYNAMICAL SEMIGROUPS ⋮ QUANTUM DYNAMICAL SEMIGROUPS GENERATED BY NONCOMMUTATIVE UNBOUNDED ELLIPTIC OPERATORS

Cites Work

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• Derivations, dissipations and group actions on \(C^ *\)-algebras
• Time-orthogonal unitary dilations and noncommutative Feynman-Kac formulae
• Non-commutative symmetric Markov semigroups
• Sufficient conditions for conservativity of minimal quantum dynamical semigroups
• Feynman-Kac representation of some noncommutative elliptic operators
• Markovian cocycles on operator algebras adapted to a Fock filtration
• On the structure of classical and quantum flows
• Quantum stochastic processes

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