Nonperturbative approach to potentials in impenetrable boxes based on quasi-exact solvability

Detalhes bibliográficos
Autor(a) principal: Dutra, A. D.
Data de Publicação: 2003
Outros Autores: Gazeau, J. P., Kerner, R., Antoine, J. P., Metens, S., Thibon, J. Y.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://hdl.handle.net/11449/194629
Resumo: In this work we develop an approach to obtain analytical expressions for potentials in an impenetrable box. In this kind of system the expression has the advantage of being valid for arbitrary values of the box length, and respect the correct quantum limits. The similarity of this kind of problem with the quasi exactly solvable potentials is explored in order to accomplish our goals. Problems related to the break of symmetries and simultaneous eigenfunctions of commuting operators are discussed.
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spelling Nonperturbative approach to potentials in impenetrable boxes based on quasi-exact solvabilityIn this work we develop an approach to obtain analytical expressions for potentials in an impenetrable box. In this kind of system the expression has the advantage of being valid for arbitrary values of the box length, and respect the correct quantum limits. The similarity of this kind of problem with the quasi exactly solvable potentials is explored in order to accomplish our goals. Problems related to the break of symmetries and simultaneous eigenfunctions of commuting operators are discussed.UNESP, BR-12516410 Guaratingueta, SP, BrazilUNESP, BR-12516410 Guaratingueta, SP, BrazilIop Publishing LtdUniversidade Estadual Paulista (Unesp)Dutra, A. D.Gazeau, J. P.Kerner, R.Antoine, J. P.Metens, S.Thibon, J. Y.2020-12-10T16:32:21Z2020-12-10T16:32:21Z2003-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article531-534Group 24 : Physical And Mathematical Aspects Of Symmetries. Bristol: Iop Publishing Ltd, v. 173, p. 531-534, 2003.0951-3248http://hdl.handle.net/11449/194629WOS:000222970400101Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengGroup 24 : Physical And Mathematical Aspects Of Symmetriesinfo:eu-repo/semantics/openAccess2021-10-22T19:03:42Zoai:repositorio.unesp.br:11449/194629Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T15:20:50.679854Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Nonperturbative approach to potentials in impenetrable boxes based on quasi-exact solvability
title Nonperturbative approach to potentials in impenetrable boxes based on quasi-exact solvability
spellingShingle Nonperturbative approach to potentials in impenetrable boxes based on quasi-exact solvability
Dutra, A. D.
title_short Nonperturbative approach to potentials in impenetrable boxes based on quasi-exact solvability
title_full Nonperturbative approach to potentials in impenetrable boxes based on quasi-exact solvability
title_fullStr Nonperturbative approach to potentials in impenetrable boxes based on quasi-exact solvability
title_full_unstemmed Nonperturbative approach to potentials in impenetrable boxes based on quasi-exact solvability
title_sort Nonperturbative approach to potentials in impenetrable boxes based on quasi-exact solvability
author Dutra, A. D.
author_facet Dutra, A. D.
Gazeau, J. P.
Kerner, R.
Antoine, J. P.
Metens, S.
Thibon, J. Y.
author_role author
author2 Gazeau, J. P.
Kerner, R.
Antoine, J. P.
Metens, S.
Thibon, J. Y.
author2_role author
author
author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Dutra, A. D.
Gazeau, J. P.
Kerner, R.
Antoine, J. P.
Metens, S.
Thibon, J. Y.
description In this work we develop an approach to obtain analytical expressions for potentials in an impenetrable box. In this kind of system the expression has the advantage of being valid for arbitrary values of the box length, and respect the correct quantum limits. The similarity of this kind of problem with the quasi exactly solvable potentials is explored in order to accomplish our goals. Problems related to the break of symmetries and simultaneous eigenfunctions of commuting operators are discussed.
publishDate 2003
dc.date.none.fl_str_mv 2003-01-01
2020-12-10T16:32:21Z
2020-12-10T16:32:21Z
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 Group 24 : Physical And Mathematical Aspects Of Symmetries. Bristol: Iop Publishing Ltd, v. 173, p. 531-534, 2003.
0951-3248
http://hdl.handle.net/11449/194629
WOS:000222970400101
identifier_str_mv Group 24 : Physical And Mathematical Aspects Of Symmetries. Bristol: Iop Publishing Ltd, v. 173, p. 531-534, 2003.
0951-3248
WOS:000222970400101
url http://hdl.handle.net/11449/194629
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Group 24 : Physical And Mathematical Aspects Of Symmetries
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 531-534
dc.publisher.none.fl_str_mv Iop Publishing Ltd
publisher.none.fl_str_mv Iop Publishing Ltd
dc.source.none.fl_str_mv Web of Science
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
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