Brownian motion on Lie groups and open quantum systems

DOI10.1088/1751-8113/43/26/265301zbMath1202.81127arXiv1002.3507OpenAlexW2066426154MaRDI QIDQ3578278

Paolo Aniello, Andrzej Kossakowski, Franco Ventriglia, Giuseppe Marmo

Publication date: 19 July 2010

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

Full work available at URL: https://arxiv.org/abs/1002.3507

zbMATH Keywords

Brownian motionunitary representations of locally compact groupsLie algebras of Lie groupsoperator algebra methodsfinite-dimensional groups and algebras motivated by physics and their representations

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Transformation groups and semigroups (topological aspects) (54H15) Brownian motion (60J65) Markov semigroups and applications to diffusion processes (47D07) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Unitary representations of locally compact groups (22D10) Operator algebra methods applied to problems in quantum theory (81R15) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57) Measures (Gaussian, cylindrical, etc.) on manifolds of maps (58D20) Open systems, reduced dynamics, master equations, decoherence (81S22)

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