Time dependence of the probability density in the transient regime for tunneling

An exact analytical solution to the time-dependent Schrodinger equation with cutoff wave initial conditions is used to investigate the fast tunneling response of a rectangular potential barrier. We find that just across the tunneling region, the probability density exhibits at short times a transien...

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Detalles Bibliográficos
Autores: Villavicencio, J, García-Calderon, G
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2001
País:México
Institución:Universidad Nacional Autónoma de México
Repositorio:Sistema de Información de la Facultad de Ciencias, UNAM
OAI Identifier:oai:repositorio.fciencias.unam.mx:11154/1957
Acceso en línea:http://hdl.handle.net/11154/1957
Access Level:acceso abierto
Palabra clave:Optics
Physics, Atomic, Molecular & Chemical
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spelling Time dependence of the probability density in the transient regime for tunnelingVillavicencio, JGarcía-Calderon, GOpticsPhysics, Atomic, Molecular & ChemicalAn exact analytical solution to the time-dependent Schrodinger equation with cutoff wave initial conditions is used to investigate the fast tunneling response of a rectangular potential barrier. We find that just across the tunneling region, the probability density exhibits at short times a transient behavior that may be characterized by a peak t(p) and a width Deltat. We show that t(p) provides the earliest tunneling response of the system and that the top-barrier S-matrix poles play an important role in the process. As a function of the barrier width, t(p) exhibits two regimes. Along the first regime, t(p) remains almost a constantas the barrier width increases, a second regime appears where t(p) grows linearly with the barrier width.2011-01-22T10:26:58Z2011-01-22T10:26:58Z2001info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1050-2947http://hdl.handle.net/11154/1957233864(1)reponame:Sistema de Información de la Facultad de Ciencias, UNAMinstname:Universidad Nacional Autónoma de Méxicoinstacron:UNAMenPhysical Review Ainfo:eu-repo/semantics/openAccessoai:repositorio.fciencias.unam.mx:11154/19572025-09-17T19:20:39Z
dc.title.none.fl_str_mv Time dependence of the probability density in the transient regime for tunneling
title Time dependence of the probability density in the transient regime for tunneling
spellingShingle Time dependence of the probability density in the transient regime for tunneling
Villavicencio, J
Optics
Physics, Atomic, Molecular & Chemical
title_short Time dependence of the probability density in the transient regime for tunneling
title_full Time dependence of the probability density in the transient regime for tunneling
title_fullStr Time dependence of the probability density in the transient regime for tunneling
title_full_unstemmed Time dependence of the probability density in the transient regime for tunneling
title_sort Time dependence of the probability density in the transient regime for tunneling
dc.creator.none.fl_str_mv Villavicencio, J
García-Calderon, G
author Villavicencio, J
author_facet Villavicencio, J
García-Calderon, G
author_role author
author2 García-Calderon, G
author2_role author
dc.subject.none.fl_str_mv Optics
Physics, Atomic, Molecular & Chemical
topic Optics
Physics, Atomic, Molecular & Chemical
description An exact analytical solution to the time-dependent Schrodinger equation with cutoff wave initial conditions is used to investigate the fast tunneling response of a rectangular potential barrier. We find that just across the tunneling region, the probability density exhibits at short times a transient behavior that may be characterized by a peak t(p) and a width Deltat. We show that t(p) provides the earliest tunneling response of the system and that the top-barrier S-matrix poles play an important role in the process. As a function of the barrier width, t(p) exhibits two regimes. Along the first regime, t(p) remains almost a constant
publishDate 2001
dc.date.none.fl_str_mv 2001
2011-01-22T10:26:58Z
2011-01-22T10:26:58Z
dc.type.none.fl_str_mv info:eu-repo/semantics/publishedVersion
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format article
status_str publishedVersion
dc.identifier.none.fl_str_mv 1050-2947
http://hdl.handle.net/11154/1957
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identifier_str_mv 1050-2947
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url http://hdl.handle.net/11154/1957
dc.language.none.fl_str_mv en
language_invalid_str_mv en
dc.relation.none.fl_str_mv Physical Review A
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv 64(1)
reponame:Sistema de Información de la Facultad de Ciencias, UNAM
instname:Universidad Nacional Autónoma de México
instacron:UNAM
instname_str Universidad Nacional Autónoma de México
instacron_str UNAM
institution UNAM
reponame_str Sistema de Información de la Facultad de Ciencias, UNAM
collection Sistema de Información de la Facultad de Ciencias, UNAM
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