Summation of partial wave expansions in the scattering by long range potentials. II. Numerical applications
Autor(a) principal: | |
---|---|
Data de Publicação: | 1978 |
Outros Autores: | |
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. |
id |
UNSP_39ea090532c0cf4c2cfab79b6a0bd4bb |
---|---|
oai_identifier_str |
oai:repositorio.unesp.br:11449/231080 |
network_acronym_str |
UNSP |
network_name_str |
Repositório Institucional da UNESP |
repository_id_str |
2946 |
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) 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_ |
1808128314161758208 |