Proper treatment of scalar and vector exponential potentials in the Klein-Gordon equation: Scattering and bound states

Detalhes bibliográficos
Autor(a) principal: Aquino Curi, Elvis J.
Data de Publicação: 2019
Outros Autores: Castro, Luis B. [UNESP], de Castro, Antonio S. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1140/epjp/i2019-12571-8
http://hdl.handle.net/11449/189193
Resumo: We point out a misleading treatment in the literature regarding bound-state solutions for the s-wave Klein-Gordon equation with exponential scalar and vector potentials. Following the appropriate procedure for an arbitrary mixing of scalar and vector couplings, we generalize earlier works and present the correct solution to bound states and additionally we address the issue of scattering states. Moreover, we present a new effect related to the polarization of the charge density in the presence of weak short-range exponential scalar and vector potentials.
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spelling Proper treatment of scalar and vector exponential potentials in the Klein-Gordon equation: Scattering and bound statesWe point out a misleading treatment in the literature regarding bound-state solutions for the s-wave Klein-Gordon equation with exponential scalar and vector potentials. Following the appropriate procedure for an arbitrary mixing of scalar and vector couplings, we generalize earlier works and present the correct solution to bound states and additionally we address the issue of scattering states. Moreover, we present a new effect related to the polarization of the charge density in the presence of weak short-range exponential scalar and vector potentials.Departamento de Física Universidade Federal do Maranhão (UFMA) Campus Universitário do BacangaDepartamento de Física e Química Universidade Estadual Paulista (UNESP) Campus de GuaratinguetáDepartamento de Física e Química Universidade Estadual Paulista (UNESP) Campus de GuaratinguetáUniversidade Federal do Maranhão (UFMA)Universidade Estadual Paulista (Unesp)Aquino Curi, Elvis J.Castro, Luis B. [UNESP]de Castro, Antonio S. [UNESP]2019-10-06T16:32:53Z2019-10-06T16:32:53Z2019-06-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1140/epjp/i2019-12571-8European Physical Journal Plus, v. 134, n. 6, 2019.2190-5444http://hdl.handle.net/11449/18919310.1140/epjp/i2019-12571-82-s2.0-85066473795Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengEuropean Physical Journal Plusinfo:eu-repo/semantics/openAccess2021-10-23T15:55:00Zoai:repositorio.unesp.br:11449/189193Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T15:55Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Proper treatment of scalar and vector exponential potentials in the Klein-Gordon equation: Scattering and bound states
title Proper treatment of scalar and vector exponential potentials in the Klein-Gordon equation: Scattering and bound states
spellingShingle Proper treatment of scalar and vector exponential potentials in the Klein-Gordon equation: Scattering and bound states
Aquino Curi, Elvis J.
title_short Proper treatment of scalar and vector exponential potentials in the Klein-Gordon equation: Scattering and bound states
title_full Proper treatment of scalar and vector exponential potentials in the Klein-Gordon equation: Scattering and bound states
title_fullStr Proper treatment of scalar and vector exponential potentials in the Klein-Gordon equation: Scattering and bound states
title_full_unstemmed Proper treatment of scalar and vector exponential potentials in the Klein-Gordon equation: Scattering and bound states
title_sort Proper treatment of scalar and vector exponential potentials in the Klein-Gordon equation: Scattering and bound states
author Aquino Curi, Elvis J.
author_facet Aquino Curi, Elvis J.
Castro, Luis B. [UNESP]
de Castro, Antonio S. [UNESP]
author_role author
author2 Castro, Luis B. [UNESP]
de Castro, Antonio S. [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Federal do Maranhão (UFMA)
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Aquino Curi, Elvis J.
Castro, Luis B. [UNESP]
de Castro, Antonio S. [UNESP]
description We point out a misleading treatment in the literature regarding bound-state solutions for the s-wave Klein-Gordon equation with exponential scalar and vector potentials. Following the appropriate procedure for an arbitrary mixing of scalar and vector couplings, we generalize earlier works and present the correct solution to bound states and additionally we address the issue of scattering states. Moreover, we present a new effect related to the polarization of the charge density in the presence of weak short-range exponential scalar and vector potentials.
publishDate 2019
dc.date.none.fl_str_mv 2019-10-06T16:32:53Z
2019-10-06T16:32:53Z
2019-06-01
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/10.1140/epjp/i2019-12571-8
European Physical Journal Plus, v. 134, n. 6, 2019.
2190-5444
http://hdl.handle.net/11449/189193
10.1140/epjp/i2019-12571-8
2-s2.0-85066473795
url http://dx.doi.org/10.1140/epjp/i2019-12571-8
http://hdl.handle.net/11449/189193
identifier_str_mv European Physical Journal Plus, v. 134, n. 6, 2019.
2190-5444
10.1140/epjp/i2019-12571-8
2-s2.0-85066473795
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv European Physical Journal Plus
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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_ 1799964397550960640

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