Mapping Wigner distribution functions into semiclassical distribution functions
Autor(a) principal: | |
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Data de Publicação: | 2000 |
Outros Autores: | |
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. |
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Repositório Institucional da UNESP |
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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 |