Unstable Semiclassical Trajectories in Tunneling

Some tunneling phenomena are described, in the semiclassical approximation, by unstable complex trajectories. We develop a systematic procedure to stabilize the trajectories and to calculate the tunneling probability, including both the suppression exponent and prefactor. We find that the instabilit...

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Detalles Bibliográficos
Autores principales: Levkov, D.G., Panin, A.G., Sibiryakov, S.M.
Lenguaje:eng
Publicado: 2007
Materias:
General Theoretical Physics
Acceso en línea:https://dx.doi.org/10.1103/PhysRevLett.99.170407
http://cds.cern.ch/record/1044707
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author Levkov, D.G.
Panin, A.G.
Sibiryakov, S.M.
author_facet Levkov, D.G.
Panin, A.G.
Sibiryakov, S.M.
author_sort Levkov, D.G.
collection CERN
description Some tunneling phenomena are described, in the semiclassical approximation, by unstable complex trajectories. We develop a systematic procedure to stabilize the trajectories and to calculate the tunneling probability, including both the suppression exponent and prefactor. We find that the instability of tunneling solutions modifies the power-law dependence of the prefactor on h as compared to the case of stable solutions.
id cern-1044707
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2007
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spelling cern-10447072023-05-11T03:10:25Zdoi:10.1103/PhysRevLett.99.170407http://cds.cern.ch/record/1044707engLevkov, D.G.Panin, A.G.Sibiryakov, S.M.Unstable Semiclassical Trajectories in TunnelingGeneral Theoretical PhysicsSome tunneling phenomena are described, in the semiclassical approximation, by unstable complex trajectories. We develop a systematic procedure to stabilize the trajectories and to calculate the tunneling probability, including both the suppression exponent and prefactor. We find that the instability of tunneling solutions modifies the power-law dependence of the prefactor on h as compared to the case of stable solutions.Some tunneling phenomena are described, in the semiclassical approximation, by unstable complex trajectories. We develop a systematic procedure to stabilize the trajectories and to calculate the tunneling probability, including both the suppression exponent and prefactor. We find that the instability of tunneling solutions modifies the power-law dependence of the prefactor on h as compared to the case of stable solutions.arXiv:0707.0433CERN-PH-TH-2007-109CERN-PH-TH/2007-109CERN-PH-TH-2007-109oai:cds.cern.ch:10447072007-07-04
spellingShingle General Theoretical Physics
Levkov, D.G.
Panin, A.G.
Sibiryakov, S.M.
Unstable Semiclassical Trajectories in Tunneling
title Unstable Semiclassical Trajectories in Tunneling
title_full Unstable Semiclassical Trajectories in Tunneling
title_fullStr Unstable Semiclassical Trajectories in Tunneling
title_full_unstemmed Unstable Semiclassical Trajectories in Tunneling
title_short Unstable Semiclassical Trajectories in Tunneling
title_sort unstable semiclassical trajectories in tunneling
topic General Theoretical Physics
url https://dx.doi.org/10.1103/PhysRevLett.99.170407
http://cds.cern.ch/record/1044707
work_keys_str_mv AT levkovdg unstablesemiclassicaltrajectoriesintunneling
AT paninag unstablesemiclassicaltrajectoriesintunneling
AT sibiryakovsm unstablesemiclassicaltrajectoriesintunneling

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