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: Hernández, Ester Susana, Cataldo, Horacio Máximo
Publicado: 1989
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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Sumario: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.