The Caldeira–Leggett quantum master equation in Wigner phase space: continued-fraction solution and application to Brownian motion in periodic potentials

DOI10.1088/0305-4470/37/45/003zbMath1064.81079arXivcond-mat/0407454OpenAlexW3105236199WikidataQ59449076 ScholiaQ59449076MaRDI QIDQ4652958

J. L. García-Palacios, D. Zueco

Publication date: 28 February 2005

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0407454

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Transport processes in time-dependent statistical mechanics (82C70) Quantum stochastic calculus (81S25) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

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Phase-space description of a particle in a quartic double-well potential ⋮ Master equation in phase space for a spin in an arbitrarily directed uniform external field ⋮ Classical and quantum models in non-equilibrium statistical mechanics: moment methods and long-time approximations ⋮ Master equation in phase space for a uniaxial spin system ⋮ Brownian motion, quantum corrections and a generalization of the Hermite polynomials ⋮ Phase induced transport of a Brownian particle in a periodic potential in the presence of an external noise: A semiclassical treatment

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