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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1989
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Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v39_n4_p2034_HernAndez http://hdl.handle.net/20.500.12110/paper_10502947_v39_n4_p2034_HernAndez |
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paper:paper_10502947_v39_n4_p2034_HernAndez2023-06-08T16:01:31Z Semiclassical description of harmonic quantal Brownian motion Hernández, Ester Susana Cataldo, Horacio Máximo 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. 1989 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v39_n4_p2034_HernAndez 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. |
author |
Hernández, Ester Susana Cataldo, Horacio Máximo |
spellingShingle |
Hernández, Ester Susana Cataldo, Horacio Máximo Semiclassical description of harmonic quantal Brownian motion |
author_facet |
Hernández, Ester Susana Cataldo, Horacio Máximo |
author_sort |
Hernández, Ester Susana |
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 |
publishDate |
1989 |
url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v39_n4_p2034_HernAndez http://hdl.handle.net/20.500.12110/paper_10502947_v39_n4_p2034_HernAndez |
work_keys_str_mv |
AT hernandezestersusana semiclassicaldescriptionofharmonicquantalbrownianmotion AT cataldohoraciomaximo semiclassicaldescriptionofharmonicquantalbrownianmotion |
_version_ |
1768546638615281664 |