Proper treatment of scalar and vector exponential potentials in the Klein-Gordon equation: Scattering and bound states
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | , |
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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Repositório Institucional da UNESP |
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2946 |
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/openAccess2024-07-01T20:51:52Zoai:repositorio.unesp.br:11449/189193Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-07-01T20:51:52Repositório 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_ |
1803649285707792384 |