Determination of the border between "shallow" and "deep" tunneling regions for Herman-Kluk method by asymptotic approach

dc.creatorTanaka, Atushi
dc.date2006-01-20
dc.date.accessioned2026-07-07T07:00:29Z
dc.date.available2026-07-07T07:00:29Z
dc.descriptionThe evaluation of a tunneling tail by the Herman-Kluk method, which is a quasiclassical way to compute quantum dynamics, is examined by asymptotic analysis. In the shallower part of the tail, as well as in the classically allowed region, it is shown that the leading terms of semiclassical evaluations of quantum theory and the Herman-Kluk formula agree, which is known as an asymptotic equivalence. In the deeper part, it is shown that the asymptotic equivalence breaks down, due to the emergence of unusual "tunneling trajectory", which is an artifact of the Herman-Kluk method.
dc.descriptionTo be published in Phys. Rev. A
dc.identifierhttps://arxiv.org/abs/quant-ph/0601135
dc.identifierhttp://arxiv.org/abs/quant-ph/0601135
dc.identifierPhys. Rev. A 73, 024101 (2006) (4 pages)
dc.identifierdoi:10.1103/PhysRevA.73.024101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108037
dc.subjectQuantum Physics
dc.titleDetermination of the border between "shallow" and "deep" tunneling regions for Herman-Kluk method by asymptotic approach
dc.typetext

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