Accidental Degeneracy of the Coulomb Interaction
Autor(a) principal: | |
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Data de Publicação: | 1967 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1119/1.1974161 http://hdl.handle.net/11449/231286 |
Resumo: | A treatment of the bound states for the hydrogen atom is given, based on the Sehrodinger equation in momentum representation. The work runs parallel to Fock's treatment of the integral equation in momentum space. The problem is reduced to an eigenvalue equation for the Laplace-Beltrami operator in a momentum space of constant curvature, from which Balmer formula and the eigenfunctions are easily derived. © 1967, American Association of Physics Teachers. All rights reserved. |
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Repositório Institucional da UNESP |
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2946 |
spelling |
Accidental Degeneracy of the Coulomb InteractionA treatment of the bound states for the hydrogen atom is given, based on the Sehrodinger equation in momentum representation. The work runs parallel to Fock's treatment of the integral equation in momentum space. The problem is reduced to an eigenvalue equation for the Laplace-Beltrami operator in a momentum space of constant curvature, from which Balmer formula and the eigenfunctions are easily derived. © 1967, American Association of Physics Teachers. All rights reserved.Instituto de Fisica Teorica, Sao PauloInstituto de Fisica TeoricaAldrovandi, R.Alcabas, J. A.C.Ferreira, P. Leal2022-04-29T08:44:29Z2022-04-29T08:44:29Z1967-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article520-522http://dx.doi.org/10.1119/1.1974161American Journal of Physics, v. 35, n. 6, p. 520-522, 1967.1943-29090002-9505http://hdl.handle.net/11449/23128610.1119/1.19741612-s2.0-84863480624Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengAmerican Journal of Physicsinfo:eu-repo/semantics/openAccess2022-04-29T08:44:29Zoai:repositorio.unesp.br:11449/231286Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-29T08:44:29Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Accidental Degeneracy of the Coulomb Interaction |
title |
Accidental Degeneracy of the Coulomb Interaction |
spellingShingle |
Accidental Degeneracy of the Coulomb Interaction Aldrovandi, R. |
title_short |
Accidental Degeneracy of the Coulomb Interaction |
title_full |
Accidental Degeneracy of the Coulomb Interaction |
title_fullStr |
Accidental Degeneracy of the Coulomb Interaction |
title_full_unstemmed |
Accidental Degeneracy of the Coulomb Interaction |
title_sort |
Accidental Degeneracy of the Coulomb Interaction |
author |
Aldrovandi, R. |
author_facet |
Aldrovandi, R. Alcabas, J. A.C. Ferreira, P. Leal |
author_role |
author |
author2 |
Alcabas, J. A.C. Ferreira, P. Leal |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Instituto de Fisica Teorica |
dc.contributor.author.fl_str_mv |
Aldrovandi, R. Alcabas, J. A.C. Ferreira, P. Leal |
description |
A treatment of the bound states for the hydrogen atom is given, based on the Sehrodinger equation in momentum representation. The work runs parallel to Fock's treatment of the integral equation in momentum space. The problem is reduced to an eigenvalue equation for the Laplace-Beltrami operator in a momentum space of constant curvature, from which Balmer formula and the eigenfunctions are easily derived. © 1967, American Association of Physics Teachers. All rights reserved. |
publishDate |
1967 |
dc.date.none.fl_str_mv |
1967-01-01 2022-04-29T08:44:29Z 2022-04-29T08:44:29Z |
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/10.1119/1.1974161 American Journal of Physics, v. 35, n. 6, p. 520-522, 1967. 1943-2909 0002-9505 http://hdl.handle.net/11449/231286 10.1119/1.1974161 2-s2.0-84863480624 |
url |
http://dx.doi.org/10.1119/1.1974161 http://hdl.handle.net/11449/231286 |
identifier_str_mv |
American Journal of Physics, v. 35, n. 6, p. 520-522, 1967. 1943-2909 0002-9505 10.1119/1.1974161 2-s2.0-84863480624 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
American Journal of Physics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
520-522 |
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_ |
1803047167969984512 |