Semiclassical Tunneling of Wavepackets with Real Trajectories

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dc.creatorJaubert, L.
dc.creatorde Aguiar, M. A. M.
dc.date2006-09-04
dc.date2006-11-27
dc.date.accessioned2026-07-07T07:45:26Z
dc.date.available2026-07-07T07:45:26Z
dc.descriptionSemiclassical approximations for tunneling processes usually involve complex trajectories or complex times. In this paper we use a previously derived approximation involving only real trajectories propagating in real time to describe the scattering of a Gaussian wavepacket by a finite square potential barrier. We show that the approximation describes both tunneling and interferences very accurately in the limit of small Plank's constant. We use these results to estimate the tunneling time of the wavepacket and find that, for high energies, the barrier slows down the wavepacket but that it speeds it up at energies comparable to the barrier height.
dc.description23 pages, 7 figures Revised text and figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0609016
dc.identifierhttp://arxiv.org/abs/quant-ph/0609016
dc.identifierPhysica Scripta 75 (2007) 363
dc.identifierdoi:10.1088/0031-8949/75/3/023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123529
dc.subjectQuantum Physics
dc.titleSemiclassical Tunneling of Wavepackets with Real Trajectories
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