Tunneling Catastrophes of the Partition Function

Detalhes bibliográficos
Autor(a) principal: Carvalho,C. A. A. de
Data de Publicação: 1997
Outros Autores: Cavalcanti,R. M.
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=S0103-97331997000300006
Resumo: We use path-integrals to derive a general expression for the semiclassical approximation to the partition function of a one-dimensional quantum-mechanical system. Our expression depends solely on ordinary integrals which involve the potential. For high temperatures, the semiclassical expression is dominated by single closed paths. As we lower the temperature, new closed paths may appear, including tunneling paths. The transition from single to multiple-path regime corresponds to well-defined catastrophes. Tunneling sets in whenever they occur. Our formula fully accounts for this feature
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spelling Tunneling Catastrophes of the Partition FunctionWe use path-integrals to derive a general expression for the semiclassical approximation to the partition function of a one-dimensional quantum-mechanical system. Our expression depends solely on ordinary integrals which involve the potential. For high temperatures, the semiclassical expression is dominated by single closed paths. As we lower the temperature, new closed paths may appear, including tunneling paths. The transition from single to multiple-path regime corresponds to well-defined catastrophes. Tunneling sets in whenever they occur. Our formula fully accounts for this featureSociedade Brasileira de Física1997-09-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331997000300006Brazilian Journal of Physics v.27 n.3 1997reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97331997000300006info:eu-repo/semantics/openAccessCarvalho,C. A. A. deCavalcanti,R. M.eng1999-02-04T00:00:00Zoai:scielo:S0103-97331997000300006Revistahttp://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:1999-02-04T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Tunneling Catastrophes of the Partition Function
title Tunneling Catastrophes of the Partition Function
spellingShingle Tunneling Catastrophes of the Partition Function
Carvalho,C. A. A. de
title_short Tunneling Catastrophes of the Partition Function
title_full Tunneling Catastrophes of the Partition Function
title_fullStr Tunneling Catastrophes of the Partition Function
title_full_unstemmed Tunneling Catastrophes of the Partition Function
title_sort Tunneling Catastrophes of the Partition Function
author Carvalho,C. A. A. de
author_facet Carvalho,C. A. A. de
Cavalcanti,R. M.
author_role author
author2 Cavalcanti,R. M.
author2_role author
dc.contributor.author.fl_str_mv Carvalho,C. A. A. de
Cavalcanti,R. M.
description We use path-integrals to derive a general expression for the semiclassical approximation to the partition function of a one-dimensional quantum-mechanical system. Our expression depends solely on ordinary integrals which involve the potential. For high temperatures, the semiclassical expression is dominated by single closed paths. As we lower the temperature, new closed paths may appear, including tunneling paths. The transition from single to multiple-path regime corresponds to well-defined catastrophes. Tunneling sets in whenever they occur. Our formula fully accounts for this feature
publishDate 1997
dc.date.none.fl_str_mv 1997-09-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
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dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331997000300006
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331997000300006
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0103-97331997000300006
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.27 n.3 1997
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
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