Semiclassical analysis of level widths for one-dimensional potentials
量子物理
2007-05-23 v1 凝聚态物理
原子物理
摘要
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 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.
引用
@article{arxiv.quant-ph/9910121,
title = {Semiclassical analysis of level widths for one-dimensional potentials},
author = {Gert-Ludwig Ingold and Rodolfo A. Jalabert and Klaus Richter},
journal= {arXiv preprint arXiv:quant-ph/9910121},
year = {2007}
}
备注
8 pages, 2 figures, RevTeX