Bounded solutions of fermions in the background of mixed vector-scalar inversely linear potentials

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dc.contributor.authorde Castro, A. S.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T13:27:32Z
dc.date.available2014-05-20T13:27:32Z
dc.date.issued2005-04-01
dc.description.abstractThe problem of a fermion subject to a general mixing of vector and scalar potentials in a two-dimensional world is mapped into a Sturm-Liouville problem. Isolated bounded solutions are also searched. For the specific case of an inversely linear potential, which gives rise to an effective Kratzer potential in the Sturm-Liouville problem, exact bounded solutions are found in closed form. The case of a pure scalar potential with their isolated zero-energy solutions, already analyzed in a previous work, is obtained as a particular case. The behavior of the upper and lower components of the Dirac spinor is discussed in detail and some unusual results are revealed. The nonrelativistic limit of our results adds a new support to the conclusion that even-parity solutions to the nonrelativistic one-dimensional hydrogen atom do not exist. (c) 2004 Elsevier B.V. All rights reserved.en
dc.description.affiliationUNESP, Dept Quim & Fis, BR-12516410 Guaratingueta, SP, Brazil
dc.description.affiliationUnespUNESP, Dept Quim & Fis, BR-12516410 Guaratingueta, SP, Brazil
dc.format.extent414-430
dc.identifierhttp://dx.doi.org/10.1016/j.aop.2004.09.013
dc.identifier.citationAnnals of Physics. San Diego: Academic Press Inc. Elsevier B.V., v. 316, n. 2, p. 414-430, 2005.
dc.identifier.doi10.1016/j.aop.2004.09.013
dc.identifier.issn0003-4916
dc.identifier.lattes5811700083195480
dc.identifier.urihttp://hdl.handle.net/11449/9077
dc.identifier.wosWOS:000227921100005
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofAnnals of Physics
dc.relation.ispartofjcr2.367
dc.relation.ispartofsjr0,987
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.titleBounded solutions of fermions in the background of mixed vector-scalar inversely linear potentialsen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
unesp.author.lattes5811700083195480[1]
unesp.author.orcid0000-0001-8802-8806[1]
unesp.campusUniversidade Estadual Paulista (Unesp), Faculdade de Engenharia, Guaratinguetápt

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Artigos - Física e Química - FEG