Classical Aspects of Quantum Walls in One Dimension

dc.creatorFulop, Tamas
dc.creatorCheon, Taksu
dc.creatorTsutsui, Izumi
dc.date2001-11-09
dc.date2002-08-28
dc.date.accessioned2026-07-07T12:47:15Z
dc.date.available2026-07-07T12:47:15Z
dc.descriptionWe investigate the system of a particle moving on a half line x >= 0 under the general walls at x = 0 that are permitted quantum mechanically. These quantum walls, characterized by a parameter L, are shown to be realized as a limit of regularized potentials. We then study the classical aspects of the quantum walls, by seeking a classical counterpart which admits the same time delay in scattering with the quantum wall, and also by examining the WKB-exactness of the transition kernel based on the regularized potentials. It is shown that no classical counterpart exists for walls with L < 0, and that the WKB-exactness can hold only for L = 0 and L = infinity.
dc.descriptionTeX, 21 pages, 4 figures. v2: some parts of the text improved, new and improved figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0111057
dc.identifierhttp://arxiv.org/abs/quant-ph/0111057
dc.identifierPhysical Review A 66 (2002) 052102 (10)
dc.identifierdoi:10.1103/PhysRevA.66.052102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221659
dc.subjectQuantum Physics
dc.titleClassical Aspects of Quantum Walls in One Dimension
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