Sufficient conditions for the conservativity of a minimal quantum dynamical semigroup

DOI10.1023/A:1015896123403zbMath1024.37006OpenAlexW146392848MaRDI QIDQ1810126

S. Yu. Shustikov, Alexander M. Chebotarev

Publication date: 15 June 2003

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1015896123403

zbMATH Keywords

von Neumann algebraminimalityquantum dynamical semigroupsymmetric operatorquantum optics

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Applications of operator theory in the physical sciences (47N50) Quantum optics (81V80) Quantum stochastic calculus (81S25) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (3)

HILLE–YOSIDA ESTIMATE AND NONCONSERVATIVITY CRITERIA FOR QUANTUM DYNAMICAL SEMIGROUPS ⋮ ON PERTURBED POSITIVE SEMIGROUPS ON THE BANACH SPACE OF TRACE CLASS OPERATORS ⋮ REMARKS ON SUFFICIENT CONDITIONS FOR CONSERVATIVITY OF MINIMAL QUANTUM DYNAMICAL SEMIGROUPS

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