Numerical Generation of Optimized Discrete Variable Representations

Detalhes bibliográficos
Autor(a) principal: Soares Neto,J. J.
Data de Publicação: 1998
Outros Autores: Costa,L. S.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Brazilian Journal of Physics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331998000100001
Resumo: We develop a procedure for calculating an optimized Discrete Variable Representation (DVR) optimized for a given potential. The method leads to an efficient and compact way to obtain numerical solutions of quantum mechanical problems. The procedure is applied to several physical problems. To illustrate the strength of the algorithm in dealing with multidimensional calculations, we obtain accurate levels up to 19,000 cm-1 for the vibrational energies of the water molecule.
id SBF-2_1d988c54201f5e6147552025229ce702
oai_identifier_str oai:scielo:S0103-97331998000100001
network_acronym_str SBF-2
network_name_str Brazilian Journal of Physics
repository_id_str
spelling Numerical Generation of Optimized Discrete Variable RepresentationsWe develop a procedure for calculating an optimized Discrete Variable Representation (DVR) optimized for a given potential. The method leads to an efficient and compact way to obtain numerical solutions of quantum mechanical problems. The procedure is applied to several physical problems. To illustrate the strength of the algorithm in dealing with multidimensional calculations, we obtain accurate levels up to 19,000 cm-1 for the vibrational energies of the water molecule.Sociedade Brasileira de Física1998-03-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331998000100001Brazilian Journal of Physics v.28 n.1 1998reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97331998000100001info:eu-repo/semantics/openAccessSoares Neto,J. J.Costa,L. S.eng1999-04-28T00:00:00Zoai:scielo:S0103-97331998000100001Revistahttp://www.sbfisica.org.br/v1/home/index.php/pt/ONGhttps://old.scielo.br/oai/scielo-oai.phpsbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br1678-44480103-9733opendoar:1999-04-28T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Numerical Generation of Optimized Discrete Variable Representations
title Numerical Generation of Optimized Discrete Variable Representations
spellingShingle Numerical Generation of Optimized Discrete Variable Representations
Soares Neto,J. J.
title_short Numerical Generation of Optimized Discrete Variable Representations
title_full Numerical Generation of Optimized Discrete Variable Representations
title_fullStr Numerical Generation of Optimized Discrete Variable Representations
title_full_unstemmed Numerical Generation of Optimized Discrete Variable Representations
title_sort Numerical Generation of Optimized Discrete Variable Representations
author Soares Neto,J. J.
author_facet Soares Neto,J. J.
Costa,L. S.
author_role author
author2 Costa,L. S.
author2_role author
dc.contributor.author.fl_str_mv Soares Neto,J. J.
Costa,L. S.
description We develop a procedure for calculating an optimized Discrete Variable Representation (DVR) optimized for a given potential. The method leads to an efficient and compact way to obtain numerical solutions of quantum mechanical problems. The procedure is applied to several physical problems. To illustrate the strength of the algorithm in dealing with multidimensional calculations, we obtain accurate levels up to 19,000 cm-1 for the vibrational energies of the water molecule.
publishDate 1998
dc.date.none.fl_str_mv 1998-03-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331998000100001
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331998000100001
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0103-97331998000100001
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Física
publisher.none.fl_str_mv Sociedade Brasileira de Física
dc.source.none.fl_str_mv Brazilian Journal of Physics v.28 n.1 1998
reponame:Brazilian Journal of Physics
instname:Sociedade Brasileira de Física (SBF)
instacron:SBF
instname_str Sociedade Brasileira de Física (SBF)
instacron_str SBF
institution SBF
reponame_str Brazilian Journal of Physics
collection Brazilian Journal of Physics
repository.name.fl_str_mv Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)
repository.mail.fl_str_mv sbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br
_version_ 1754734858416947200