Semiclassical analysis of level widths for one-dimensional potentials

DOI to cite this document:: 10.5283/epub.1461

Ingold, Gert-Ludwig ; Jalabert, Rodolfo A. ; Richter, Klaus

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Date of publication of this fulltext: 05 Aug 2009 13:29

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Abstract

We 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 ...