Tunneling Catastrophes of the Partition Function
Autor(a) principal: | |
---|---|
Data de Publicação: | 1997 |
Outros Autores: | |
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 |
id |
SBF-2_16943f36bd386007dea4358dcb7bbc4f |
---|---|
oai_identifier_str |
oai:scielo:S0103-97331997000300006 |
network_acronym_str |
SBF-2 |
network_name_str |
Brazilian Journal of Physics |
repository_id_str |
|
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 |
status_str |
publishedVersion |
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 |
_version_ |
1754734858242883584 |