Phase-space description of quantum rotations

We propose a Wigner transformation of the density matrix and operators of a system with bounded coordinates and discrete momentum spectra (typically, a particle in a box) and prove that all requirements for such a transformation are satisfied. The phase-space mapping adopted here is employed to comp...

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Autores principales: Gatica, Silvina María, Hernández, Ester Susana
Publicado: 1991
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v43_n9_p4594_Gatica
http://hdl.handle.net/20.500.12110/paper_10502947_v43_n9_p4594_Gatica
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_10502947_v43_n9_p4594_Gatica
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spelling paper:paper_10502947_v43_n9_p4594_Gatica2023-06-08T16:01:34Z Phase-space description of quantum rotations Gatica, Silvina María Hernández, Ester Susana We propose a Wigner transformation of the density matrix and operators of a system with bounded coordinates and discrete momentum spectra (typically, a particle in a box) and prove that all requirements for such a transformation are satisfied. The phase-space mapping adopted here is employed to compute the quasiprobability distributions associated with the pure states of a quantum rotator and the image of the angular momentum operator. The mapping of the dynamics of these objects, both in the reversible and irreversible frame, is constructed as well, and the conditions for the existence of a classical limit in the form of a Fokker-Planck equation of motion are investigated. © 1991 The American Physical Society. Fil:Gatica, S.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Hernandez, E.S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1991 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v43_n9_p4594_Gatica http://hdl.handle.net/20.500.12110/paper_10502947_v43_n9_p4594_Gatica
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We propose a Wigner transformation of the density matrix and operators of a system with bounded coordinates and discrete momentum spectra (typically, a particle in a box) and prove that all requirements for such a transformation are satisfied. The phase-space mapping adopted here is employed to compute the quasiprobability distributions associated with the pure states of a quantum rotator and the image of the angular momentum operator. The mapping of the dynamics of these objects, both in the reversible and irreversible frame, is constructed as well, and the conditions for the existence of a classical limit in the form of a Fokker-Planck equation of motion are investigated. © 1991 The American Physical Society.
author Gatica, Silvina María
Hernández, Ester Susana
spellingShingle Gatica, Silvina María
Hernández, Ester Susana
Phase-space description of quantum rotations
author_facet Gatica, Silvina María
Hernández, Ester Susana
author_sort Gatica, Silvina María
title Phase-space description of quantum rotations
title_short Phase-space description of quantum rotations
title_full Phase-space description of quantum rotations
title_fullStr Phase-space description of quantum rotations
title_full_unstemmed Phase-space description of quantum rotations
title_sort phase-space description of quantum rotations
publishDate 1991
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v43_n9_p4594_Gatica
http://hdl.handle.net/20.500.12110/paper_10502947_v43_n9_p4594_Gatica
work_keys_str_mv AT gaticasilvinamaria phasespacedescriptionofquantumrotations
AT hernandezestersusana phasespacedescriptionofquantumrotations
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