Semiclassical analysis of level widths for one-dimensional potentials

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dc.creatorIngold, Gert-Ludwig
dc.creatorJalabert, Rodolfo A.
dc.creatorRichter, Klaus
dc.date1999-10-29
dc.date.accessioned2026-07-07T06:17:07Z
dc.date.available2026-07-07T06:17:07Z
dc.descriptionWe present a semiclassical study of level widths for a class of one-dimensional potentials in the presence of an ohmic environment. Employing an expression for the dipole matrix element in terms of the Fourier transform of the classical path we obtain the level widths within the Golden rule approximation. It is found that for potentials with an asymptotic power-law behavior, which may in addition be limited by an infinite wall, the width that an eigenstate of the isolated system acquires due to the coupling to the environment is proportional to its quantum number.
dc.description8 pages, 2 figures, RevTeX
dc.identifierhttps://arxiv.org/abs/quant-ph/9910121
dc.identifierhttp://arxiv.org/abs/quant-ph/9910121
dc.identifierAm. J. Phys. 69, 201-206 (2001)
dc.identifierdoi:10.1119/1.1288129
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94295
dc.subjectQuantum Physics
dc.subjectCondensed Matter
dc.subjectAtomic Physics
dc.titleSemiclassical analysis of level widths for one-dimensional potentials
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