Semiclassical analysis of level widths for one-dimensional potentials

@article{Ingold2001SemiclassicalAO,
  title={Semiclassical analysis of level widths for one-dimensional potentials},
  author={Gert-Ludwig Ingold and Rodolfo Jalabert and Klaus Richter},
  journal={American Journal of Physics},
  year={2001},
  volume={69},
  pages={201-206}
}
We present a semiclassical study of level widths for a class of one-dimensional potentials in the presence of an ohmic environment. Using a semiclassical approach for the dipole matrix element we obtain the level widths within the golden rule approximation. For potentials with an asymptotic power-law behavior, which may in addition be limited by an infinite wall, we find a universal result: The level widths are proportional to the corresponding quantum number. 

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