New method for obtaining complex roots in the semiclassical coherent-state propagator formula
Autor(a) principal: | |
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Data de Publicação: | 2001 |
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=S0103-97332001000300018 |
Resumo: | A semiclassical formula for the coherent-state propagator requires the determination of specific classical paths inhabiting a complex phase-space and governed by a Hamiltonian flux. Such trajectories are constrained to special boundary conditions which render their determination difficult by common methods. In this paper we present a new method based on Runge-Kutta integrator for a quick, easy and accurate determination of these trajectories. Using nonlinear one dimensional systems we show that the semiclassical formula is highly accurate as compared to its exact counterpart. Further, we clarify how the phase of the semiclassical approximation is correctly retrieved during the time evolution. |
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Brazilian Journal of Physics |
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New method for obtaining complex roots in the semiclassical coherent-state propagator formulaA semiclassical formula for the coherent-state propagator requires the determination of specific classical paths inhabiting a complex phase-space and governed by a Hamiltonian flux. Such trajectories are constrained to special boundary conditions which render their determination difficult by common methods. In this paper we present a new method based on Runge-Kutta integrator for a quick, easy and accurate determination of these trajectories. Using nonlinear one dimensional systems we show that the semiclassical formula is highly accurate as compared to its exact counterpart. Further, we clarify how the phase of the semiclassical approximation is correctly retrieved during the time evolution.Sociedade Brasileira de Física2001-09-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332001000300018Brazilian Journal of Physics v.31 n.3 2001reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97332001000300018info:eu-repo/semantics/openAccessXavier Jr.,Ademir Luixeng2015-11-26T00:00:00Zoai:scielo:S0103-97332001000300018Revistahttp://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:2015-11-26T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)false |
dc.title.none.fl_str_mv |
New method for obtaining complex roots in the semiclassical coherent-state propagator formula |
title |
New method for obtaining complex roots in the semiclassical coherent-state propagator formula |
spellingShingle |
New method for obtaining complex roots in the semiclassical coherent-state propagator formula Xavier Jr.,Ademir Luix |
title_short |
New method for obtaining complex roots in the semiclassical coherent-state propagator formula |
title_full |
New method for obtaining complex roots in the semiclassical coherent-state propagator formula |
title_fullStr |
New method for obtaining complex roots in the semiclassical coherent-state propagator formula |
title_full_unstemmed |
New method for obtaining complex roots in the semiclassical coherent-state propagator formula |
title_sort |
New method for obtaining complex roots in the semiclassical coherent-state propagator formula |
author |
Xavier Jr.,Ademir Luix |
author_facet |
Xavier Jr.,Ademir Luix |
author_role |
author |
dc.contributor.author.fl_str_mv |
Xavier Jr.,Ademir Luix |
description |
A semiclassical formula for the coherent-state propagator requires the determination of specific classical paths inhabiting a complex phase-space and governed by a Hamiltonian flux. Such trajectories are constrained to special boundary conditions which render their determination difficult by common methods. In this paper we present a new method based on Runge-Kutta integrator for a quick, easy and accurate determination of these trajectories. Using nonlinear one dimensional systems we show that the semiclassical formula is highly accurate as compared to its exact counterpart. Further, we clarify how the phase of the semiclassical approximation is correctly retrieved during the time evolution. |
publishDate |
2001 |
dc.date.none.fl_str_mv |
2001-09-01 |
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=S0103-97332001000300018 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332001000300018 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S0103-97332001000300018 |
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.31 n.3 2001 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_ |
1754734859448745984 |