Punctual Padé approximants as a regularization procedure for divergent and oscillatory partial wave expansions of the scattering amplitude

Detalhes bibliográficos
Autor(a) principal: Garibotti, C. R.
Data de Publicação: 1977
Outros Autores: Grinstein, F. F.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1063/1.523644
http://hdl.handle.net/11449/231073
Resumo: Previous theorems on the convergence of the [n,n + m] punctual Padé approximants to the scattering amplitude are extended. The new proofs include the cases of nonforward and backward scattering corresponding to potentials having 1/r and 1/r2 long-range behaviors, for which the partial wave expansions are divergent and oscillatory, respectively. In this way, the ability of the approximation scheme as a summation method is established for all of the long-range potentials of interest in potential scattering. © 1978 American Institute of Physics.
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spelling Punctual Padé approximants as a regularization procedure for divergent and oscillatory partial wave expansions of the scattering amplitudePrevious theorems on the convergence of the [n,n + m] punctual Padé approximants to the scattering amplitude are extended. The new proofs include the cases of nonforward and backward scattering corresponding to potentials having 1/r and 1/r2 long-range behaviors, for which the partial wave expansions are divergent and oscillatory, respectively. In this way, the ability of the approximation scheme as a summation method is established for all of the long-range potentials of interest in potential scattering. © 1978 American Institute of Physics.Instituto de Física Teórica, Rua Pamplona, 145 Caixa Postal, 5956-01405 São PauloInstituto de Física Dr. J. A. Balseiro Centro Atómico, 8400 BarilocheInstituto de Física UFF, Caixa Postal 296, 24000 Niteroi, RJInstituto de Física TeóricaCentro AtómicoUFFGaribotti, C. R.Grinstein, F. F.2022-04-29T08:43:26Z2022-04-29T08:43:26Z1977-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article2405-2409http://dx.doi.org/10.1063/1.523644Journal of Mathematical Physics, v. 19, n. 12, p. 2405-2409, 1977.0022-2488http://hdl.handle.net/11449/23107310.1063/1.5236442-s2.0-36749110668Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Mathematical Physicsinfo:eu-repo/semantics/openAccess2022-04-29T08:43:26Zoai:repositorio.unesp.br:11449/231073Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T19:44:38.661651Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Punctual Padé approximants as a regularization procedure for divergent and oscillatory partial wave expansions of the scattering amplitude
title Punctual Padé approximants as a regularization procedure for divergent and oscillatory partial wave expansions of the scattering amplitude
spellingShingle Punctual Padé approximants as a regularization procedure for divergent and oscillatory partial wave expansions of the scattering amplitude
Garibotti, C. R.
title_short Punctual Padé approximants as a regularization procedure for divergent and oscillatory partial wave expansions of the scattering amplitude
title_full Punctual Padé approximants as a regularization procedure for divergent and oscillatory partial wave expansions of the scattering amplitude
title_fullStr Punctual Padé approximants as a regularization procedure for divergent and oscillatory partial wave expansions of the scattering amplitude
title_full_unstemmed Punctual Padé approximants as a regularization procedure for divergent and oscillatory partial wave expansions of the scattering amplitude
title_sort Punctual Padé approximants as a regularization procedure for divergent and oscillatory partial wave expansions of the scattering amplitude
author Garibotti, C. R.
author_facet Garibotti, C. R.
Grinstein, F. F.
author_role author
author2 Grinstein, F. F.
author2_role author
dc.contributor.none.fl_str_mv Instituto de Física Teórica
Centro Atómico
UFF
dc.contributor.author.fl_str_mv Garibotti, C. R.
Grinstein, F. F.
description Previous theorems on the convergence of the [n,n + m] punctual Padé approximants to the scattering amplitude are extended. The new proofs include the cases of nonforward and backward scattering corresponding to potentials having 1/r and 1/r2 long-range behaviors, for which the partial wave expansions are divergent and oscillatory, respectively. In this way, the ability of the approximation scheme as a summation method is established for all of the long-range potentials of interest in potential scattering. © 1978 American Institute of Physics.
publishDate 1977
dc.date.none.fl_str_mv 1977-01-01
2022-04-29T08:43:26Z
2022-04-29T08:43:26Z
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/10.1063/1.523644
Journal of Mathematical Physics, v. 19, n. 12, p. 2405-2409, 1977.
0022-2488
http://hdl.handle.net/11449/231073
10.1063/1.523644
2-s2.0-36749110668
url http://dx.doi.org/10.1063/1.523644
http://hdl.handle.net/11449/231073
identifier_str_mv Journal of Mathematical Physics, v. 19, n. 12, p. 2405-2409, 1977.
0022-2488
10.1063/1.523644
2-s2.0-36749110668
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 2405-2409
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
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