Scattering by singular logarithmic potential

Detalhes bibliográficos
Autor(a) principal: Aly, H. H.
Data de Publicação: 1965
Outros Autores: Riazuddin, Zimerman, A. H.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1063/1.1704377
http://hdl.handle.net/11449/231083
Resumo: Potential of the form (gr-4 ln2 r - g1/2r -3)θ(r - r0) is considered in connection with the applicability of peratization technique. The advantage of this potential is the fact that while it is dominated by a logarithmic part near the origin, the exact solution of the zero-energy and s-wave Schrödinger equation is obtained in a closed form. We show that the peratization technique gives the correct answers.
id UNSP_1c24022ea1d1dfbc7462349c41e0e309
oai_identifier_str oai:repositorio.unesp.br:11449/231083
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling Scattering by singular logarithmic potentialPotential of the form (gr-4 ln2 r - g1/2r -3)θ(r - r0) is considered in connection with the applicability of peratization technique. The advantage of this potential is the fact that while it is dominated by a logarithmic part near the origin, the exact solution of the zero-energy and s-wave Schrödinger equation is obtained in a closed form. We show that the peratization technique gives the correct answers.Department of Physics and Astronomy University of Rochester, Rochester, NYMax Planck Institute für Physik und Astrophysik, MunichInstituto de Fisica Teorica, Sao PauloUniversity of RochesterMax Planck Institute für Physik und AstrophysikInstituto de Fisica TeoricaAly, H. H.Riazuddin,Zimerman, A. H.2022-04-29T08:43:27Z2022-04-29T08:43:27Z1965-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1115-1117http://dx.doi.org/10.1063/1.1704377Journal of Mathematical Physics, v. 6, n. 7, p. 1115-1117, 1965.0022-2488http://hdl.handle.net/11449/23108310.1063/1.17043772-s2.0-36849123166Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Mathematical Physicsinfo:eu-repo/semantics/openAccess2022-04-29T08:43:27Zoai:repositorio.unesp.br:11449/231083Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:06:20.937944Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Scattering by singular logarithmic potential
title Scattering by singular logarithmic potential
spellingShingle Scattering by singular logarithmic potential
Aly, H. H.
title_short Scattering by singular logarithmic potential
title_full Scattering by singular logarithmic potential
title_fullStr Scattering by singular logarithmic potential
title_full_unstemmed Scattering by singular logarithmic potential
title_sort Scattering by singular logarithmic potential
author Aly, H. H.
author_facet Aly, H. H.
Riazuddin,
Zimerman, A. H.
author_role author
author2 Riazuddin,
Zimerman, A. H.
author2_role author
author
dc.contributor.none.fl_str_mv University of Rochester
Max Planck Institute für Physik und Astrophysik
Instituto de Fisica Teorica
dc.contributor.author.fl_str_mv Aly, H. H.
Riazuddin,
Zimerman, A. H.
description Potential of the form (gr-4 ln2 r - g1/2r -3)θ(r - r0) is considered in connection with the applicability of peratization technique. The advantage of this potential is the fact that while it is dominated by a logarithmic part near the origin, the exact solution of the zero-energy and s-wave Schrödinger equation is obtained in a closed form. We show that the peratization technique gives the correct answers.
publishDate 1965
dc.date.none.fl_str_mv 1965-01-01
2022-04-29T08:43:27Z
2022-04-29T08:43:27Z
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/10.1063/1.1704377
Journal of Mathematical Physics, v. 6, n. 7, p. 1115-1117, 1965.
0022-2488
http://hdl.handle.net/11449/231083
10.1063/1.1704377
2-s2.0-36849123166
url http://dx.doi.org/10.1063/1.1704377
http://hdl.handle.net/11449/231083
identifier_str_mv Journal of Mathematical Physics, v. 6, n. 7, p. 1115-1117, 1965.
0022-2488
10.1063/1.1704377
2-s2.0-36849123166
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Mathematical Physics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 1115-1117
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_ 1808129490811879424