Mapping Wigner distribution functions into semiclassical distribution functions

Detalhes bibliográficos
Autor(a) principal: Bund, G. W. [UNESP]
Data de Publicação: 2000
Outros Autores: Tijero, M. C.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1103/PhysRevA.61.052114
http://hdl.handle.net/11449/66149
Resumo: A mapping that relates the Wigner phase-space distribution function of a given stationary quantum mechani-cal wave function, a solution of the Schrödinger equation, to a specific solution of the Liouville equation, both subject to the same potential, is studied. By making this mapping, bound states are described by semiclassical distribution functions still depending on Planck's constant, whereas for elastic scattering of a particle by a potential they do not depend on it, the classical limit being reached in this case. Following this method, the mapped distributions of a particle bound in the Pöschl-Teller potential and also in a modified oscillator potential are obtained.
id UNSP_beeb61b3512cd8ea8a182380f78096c5
oai_identifier_str oai:repositorio.unesp.br:11449/66149
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling Mapping Wigner distribution functions into semiclassical distribution functionsA mapping that relates the Wigner phase-space distribution function of a given stationary quantum mechani-cal wave function, a solution of the Schrödinger equation, to a specific solution of the Liouville equation, both subject to the same potential, is studied. By making this mapping, bound states are described by semiclassical distribution functions still depending on Planck's constant, whereas for elastic scattering of a particle by a potential they do not depend on it, the classical limit being reached in this case. Following this method, the mapped distributions of a particle bound in the Pöschl-Teller potential and also in a modified oscillator potential are obtained.Inst. de Fis. Teórica Universidade Estadual Paulista, Rua Pamplona, 145, 01405-900 São, Paulo, SPPont. Univ. Catol. de S. Paulo, Rua Marques de Paranagua, 111, 01303-000 São Paulo, SPInst. de Fis. Teórica Universidade Estadual Paulista, Rua Pamplona, 145, 01405-900 São, Paulo, SPUniversidade Estadual Paulista (Unesp)Pont. Univ. Catol. de S. PauloBund, G. W. [UNESP]Tijero, M. C.2014-05-27T11:19:54Z2014-05-27T11:19:54Z2000-05-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article521141-521148application/pdfhttp://dx.doi.org/10.1103/PhysRevA.61.052114Physical Review A - Atomic, Molecular, and Optical Physics, v. 61, n. 5, p. 521141-521148, 2000.1050-2947http://hdl.handle.net/11449/6614910.1103/PhysRevA.61.052114WOS:0000869532000282-s2.0-03458501432-s2.0-0345850143.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review A: Atomic, Molecular, and Optical Physics1,288info:eu-repo/semantics/openAccess2023-12-15T06:19:16Zoai:repositorio.unesp.br:11449/66149Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:25:20.216288Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Mapping Wigner distribution functions into semiclassical distribution functions
title Mapping Wigner distribution functions into semiclassical distribution functions
spellingShingle Mapping Wigner distribution functions into semiclassical distribution functions
Bund, G. W. [UNESP]
title_short Mapping Wigner distribution functions into semiclassical distribution functions
title_full Mapping Wigner distribution functions into semiclassical distribution functions
title_fullStr Mapping Wigner distribution functions into semiclassical distribution functions
title_full_unstemmed Mapping Wigner distribution functions into semiclassical distribution functions
title_sort Mapping Wigner distribution functions into semiclassical distribution functions
author Bund, G. W. [UNESP]
author_facet Bund, G. W. [UNESP]
Tijero, M. C.
author_role author
author2 Tijero, M. C.
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Pont. Univ. Catol. de S. Paulo
dc.contributor.author.fl_str_mv Bund, G. W. [UNESP]
Tijero, M. C.
description A mapping that relates the Wigner phase-space distribution function of a given stationary quantum mechani-cal wave function, a solution of the Schrödinger equation, to a specific solution of the Liouville equation, both subject to the same potential, is studied. By making this mapping, bound states are described by semiclassical distribution functions still depending on Planck's constant, whereas for elastic scattering of a particle by a potential they do not depend on it, the classical limit being reached in this case. Following this method, the mapped distributions of a particle bound in the Pöschl-Teller potential and also in a modified oscillator potential are obtained.
publishDate 2000
dc.date.none.fl_str_mv 2000-05-01
2014-05-27T11:19:54Z
2014-05-27T11:19:54Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1103/PhysRevA.61.052114
Physical Review A - Atomic, Molecular, and Optical Physics, v. 61, n. 5, p. 521141-521148, 2000.
1050-2947
http://hdl.handle.net/11449/66149
10.1103/PhysRevA.61.052114
WOS:000086953200028
2-s2.0-0345850143
2-s2.0-0345850143.pdf
url http://dx.doi.org/10.1103/PhysRevA.61.052114
http://hdl.handle.net/11449/66149
identifier_str_mv Physical Review A - Atomic, Molecular, and Optical Physics, v. 61, n. 5, p. 521141-521148, 2000.
1050-2947
10.1103/PhysRevA.61.052114
WOS:000086953200028
2-s2.0-0345850143
2-s2.0-0345850143.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Physical Review A: Atomic, Molecular, and Optical Physics
1,288
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 521141-521148
application/pdf
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808129200215818240

Registros relacionados