Semiclassical description of harmonic quantal Brownian motion

By means of the Wigner transformation procedure, we extract a generalized Fokker-Planck equation that represents the semiclassical version of the quantal master equation for Brownian harmonic motion. The Fokker-Planck equation and its solutions are investigated both in the Markovian and in the non-M...

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Autores principales: HernAndez, E.S., Cataldo, H.M.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10502947_v39_n4_p2034_HernAndez
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spelling todo:paper_10502947_v39_n4_p2034_HernAndez2023-10-03T15:58:50Z Semiclassical description of harmonic quantal Brownian motion HernAndez, E.S. Cataldo, H.M. By means of the Wigner transformation procedure, we extract a generalized Fokker-Planck equation that represents the semiclassical version of the quantal master equation for Brownian harmonic motion. The Fokker-Planck equation and its solutions are investigated both in the Markovian and in the non-Markovian regimes. The relations between semiclassical and classical Brownian motion of harmonic oscillators are analyzed with special emphasis on the high-friction limit. © 1989 The American Physical Society. Fil:HernAndez, E.S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Cataldo, H.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10502947_v39_n4_p2034_HernAndez
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description By means of the Wigner transformation procedure, we extract a generalized Fokker-Planck equation that represents the semiclassical version of the quantal master equation for Brownian harmonic motion. The Fokker-Planck equation and its solutions are investigated both in the Markovian and in the non-Markovian regimes. The relations between semiclassical and classical Brownian motion of harmonic oscillators are analyzed with special emphasis on the high-friction limit. © 1989 The American Physical Society.
format JOUR
author HernAndez, E.S.
Cataldo, H.M.
spellingShingle HernAndez, E.S.
Cataldo, H.M.
Semiclassical description of harmonic quantal Brownian motion
author_facet HernAndez, E.S.
Cataldo, H.M.
author_sort HernAndez, E.S.
title Semiclassical description of harmonic quantal Brownian motion
title_short Semiclassical description of harmonic quantal Brownian motion
title_full Semiclassical description of harmonic quantal Brownian motion
title_fullStr Semiclassical description of harmonic quantal Brownian motion
title_full_unstemmed Semiclassical description of harmonic quantal Brownian motion
title_sort semiclassical description of harmonic quantal brownian motion
url http://hdl.handle.net/20.500.12110/paper_10502947_v39_n4_p2034_HernAndez
work_keys_str_mv AT hernandezes semiclassicaldescriptionofharmonicquantalbrownianmotion
AT cataldohm semiclassicaldescriptionofharmonicquantalbrownianmotion
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