Summation of partial wave expansions in the scattering by long range potentials. II. Numerical applications

Detalhes bibliográficos
Autor(a) principal: Garibotti, C. R.
Data de Publicação: 1978
Outros Autores: Grinstein, F. F.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1063/1.523955
http://hdl.handle.net/11449/231080
Resumo: The numerical application of a sequence transformation method proposed in a previous work is considered for the calculation of differential cross-sections corresponding to processes where long range interactions are important. The advantages of the approach, as a summation algorithm for the partial wave expansion of the scattering amplitude, are shown for the cases of scattering by the Lennard-Jones, repulsive inverse square, and Coulombic potentials, and for the scattering of electrons by helium in the intermediate energy range. Furthermore, the method proves to be a regularizing procedure for divergent and oscillating partial wave expansions. © 1979 American Institute of Physics.
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spelling Summation of partial wave expansions in the scattering by long range potentials. II. Numerical applicationsThe numerical application of a sequence transformation method proposed in a previous work is considered for the calculation of differential cross-sections corresponding to processes where long range interactions are important. The advantages of the approach, as a summation algorithm for the partial wave expansion of the scattering amplitude, are shown for the cases of scattering by the Lennard-Jones, repulsive inverse square, and Coulombic potentials, and for the scattering of electrons by helium in the intermediate energy range. Furthermore, the method proves to be a regularizing procedure for divergent and oscillating partial wave expansions. © 1979 American Institute of Physics.Institute de Física Teórica, Rua Pamplona 145, 01405, Sào PauloInstituto de Física Dr. J. A. Balseiro Centro Atómico, 8400 BarilocheInstituto de Fisica UFF, Caixa Postal 296, 24000 Niteroi, RJInstitute de Física TeóricaCentro AtómicoUFFGaribotti, C. R.Grinstein, F. F.2022-04-29T08:43:27Z2022-04-29T08:43:27Z1978-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article141-147http://dx.doi.org/10.1063/1.523955Journal of Mathematical Physics, v. 20, n. 1, p. 141-147, 1978.0022-2488http://hdl.handle.net/11449/23108010.1063/1.5239552-s2.0-36749120546Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Mathematical Physics240627info:eu-repo/semantics/openAccess2023-05-19T18:43:11Zoai:repositorio.unesp.br:11449/231080Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T14:05:32.709710Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Summation of partial wave expansions in the scattering by long range potentials. II. Numerical applications
title Summation of partial wave expansions in the scattering by long range potentials. II. Numerical applications
spellingShingle Summation of partial wave expansions in the scattering by long range potentials. II. Numerical applications
Garibotti, C. R.
title_short Summation of partial wave expansions in the scattering by long range potentials. II. Numerical applications
title_full Summation of partial wave expansions in the scattering by long range potentials. II. Numerical applications
title_fullStr Summation of partial wave expansions in the scattering by long range potentials. II. Numerical applications
title_full_unstemmed Summation of partial wave expansions in the scattering by long range potentials. II. Numerical applications
title_sort Summation of partial wave expansions in the scattering by long range potentials. II. Numerical applications
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 Institute de Física Teórica
Centro Atómico
UFF
dc.contributor.author.fl_str_mv Garibotti, C. R.
Grinstein, F. F.
description The numerical application of a sequence transformation method proposed in a previous work is considered for the calculation of differential cross-sections corresponding to processes where long range interactions are important. The advantages of the approach, as a summation algorithm for the partial wave expansion of the scattering amplitude, are shown for the cases of scattering by the Lennard-Jones, repulsive inverse square, and Coulombic potentials, and for the scattering of electrons by helium in the intermediate energy range. Furthermore, the method proves to be a regularizing procedure for divergent and oscillating partial wave expansions. © 1979 American Institute of Physics.
publishDate 1978
dc.date.none.fl_str_mv 1978-01-01
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/10.1063/1.523955
Journal of Mathematical Physics, v. 20, n. 1, p. 141-147, 1978.
0022-2488
http://hdl.handle.net/11449/231080
10.1063/1.523955
2-s2.0-36749120546
url http://dx.doi.org/10.1063/1.523955
http://hdl.handle.net/11449/231080
identifier_str_mv Journal of Mathematical Physics, v. 20, n. 1, p. 141-147, 1978.
0022-2488
10.1063/1.523955
2-s2.0-36749120546
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Mathematical Physics
240627
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 141-147
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
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reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
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