Feynman integrals for non-smooth and rapidly growing potentials

Detalhes bibliográficos
Autor(a) principal: Faria, Margarida de
Data de Publicação: 2005
Outros Autores: Oliveira, Maria João, Streit, Ludwig
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.2/1679
Resumo: The Feynman integral for the Schrödinger propagator is constructed as a generalized function of white noise, for a linear space of potentials spanned by finite signed measures of bounded support and Laplace transforms of such measures, i.e., locally singular as well as rapidly growing at infinity. Remarkably, all these propagators admit a perturbation expansion.
id RCAP_a7318518e6ae26997bd7a9bdf2b88c21
oai_identifier_str oai:repositorioaberto.uab.pt:10400.2/1679
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Feynman integrals for non-smooth and rapidly growing potentialsFeynman integralsWhite noise analysisThe Feynman integral for the Schrödinger propagator is constructed as a generalized function of white noise, for a linear space of potentials spanned by finite signed measures of bounded support and Laplace transforms of such measures, i.e., locally singular as well as rapidly growing at infinity. Remarkably, all these propagators admit a perturbation expansion.American Institute of PhysicsRepositório AbertoFaria, Margarida deOliveira, Maria JoãoStreit, Ludwig2010-11-23T17:07:30Z20052005-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/1679engFaria, Margarida de; Oliveira Maria João; Streit, Ludwig - Feynman integrals for non-smooth and rapidly growing potentials. "Journal of Mathematical Physics" [Em linha]. ISSN 0022-2488. Vol. 46, nº 6 (May 2005), p. 1-140022-2488Art. No. 063505info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-16T15:14:26Zoai:repositorioaberto.uab.pt:10400.2/1679Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:43:24.226784Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Feynman integrals for non-smooth and rapidly growing potentials
title Feynman integrals for non-smooth and rapidly growing potentials
spellingShingle Feynman integrals for non-smooth and rapidly growing potentials
Faria, Margarida de
Feynman integrals
White noise analysis
title_short Feynman integrals for non-smooth and rapidly growing potentials
title_full Feynman integrals for non-smooth and rapidly growing potentials
title_fullStr Feynman integrals for non-smooth and rapidly growing potentials
title_full_unstemmed Feynman integrals for non-smooth and rapidly growing potentials
title_sort Feynman integrals for non-smooth and rapidly growing potentials
author Faria, Margarida de
author_facet Faria, Margarida de
Oliveira, Maria João
Streit, Ludwig
author_role author
author2 Oliveira, Maria João
Streit, Ludwig
author2_role author
author
dc.contributor.none.fl_str_mv Repositório Aberto
dc.contributor.author.fl_str_mv Faria, Margarida de
Oliveira, Maria João
Streit, Ludwig
dc.subject.por.fl_str_mv Feynman integrals
White noise analysis
topic Feynman integrals
White noise analysis
description The Feynman integral for the Schrödinger propagator is constructed as a generalized function of white noise, for a linear space of potentials spanned by finite signed measures of bounded support and Laplace transforms of such measures, i.e., locally singular as well as rapidly growing at infinity. Remarkably, all these propagators admit a perturbation expansion.
publishDate 2005
dc.date.none.fl_str_mv 2005
2005-01-01T00:00:00Z
2010-11-23T17:07:30Z
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://hdl.handle.net/10400.2/1679
url http://hdl.handle.net/10400.2/1679
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Faria, Margarida de; Oliveira Maria João; Streit, Ludwig - Feynman integrals for non-smooth and rapidly growing potentials. "Journal of Mathematical Physics" [Em linha]. ISSN 0022-2488. Vol. 46, nº 6 (May 2005), p. 1-14
0022-2488
Art. No. 063505
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Institute of Physics
publisher.none.fl_str_mv American Institute of Physics
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
_version_ 1799135000667357184

Registros relacionados