QUANTUM DYNAMICAL SEMIGROUPS GENERATED BY NONCOMMUTATIVE UNBOUNDED ELLIPTIC OPERATORS

DOI10.1142/S0129055X06002759zbMath1130.47022arXivmath-ph/0505026OpenAlexW2114357926MaRDI QIDQ3426870

Chul Ki Ko, Yong Moon Park, Changsoo Bahn

Publication date: 13 March 2007

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

Full work available at URL: https://arxiv.org/abs/math-ph/0505026

zbMATH Keywords

quantum dynamical semigroupsconservativityquantum mechanical systemnoncommutative elliptic operators

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Applications of operator theory in the physical sciences (47N50) Noncommutative dynamical systems (46L55) Quantum stochastic calculus (81S25)

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• On the generators of quantum dynamical semigroups
• Quantum dynamical semigroups and the neutron diffusion equation
• Sufficient conditions for conservativity of minimal quantum dynamical semigroups
• Sufficient conditions for conservativity of quantum dynamical semigroups
• Feynman-Kac representation of some noncommutative elliptic operators
• FEYNMAN–KAC REPRESENTATION AND MARKOV PROPERTY OF SEMIGROUPS GENERATED BY NONCOMMUTATIVE ELLIPTIC OPERATORS
• CONSERVATIVE MINIMAL QUANTUM DYNAMICAL SEMIGROUPS GENERATED BY NONCOMMUTATIVE ELLIPTIC OPERATORS
• REMARKS ON SUFFICIENT CONDITIONS FOR CONSERVATIVITY OF MINIMAL QUANTUM DYNAMICAL SEMIGROUPS