Comment on "Quantum mechanical versus semiclassical tunneling and decay times"

Details Comment on "Quantum mechanical versus semiclassical tunneling and decay times" Comment on "Quantum mechanical versus semiclassical tunneling and decay times"

2009-07-15

arxiv.org/abs/0907.2703v2

Physics

Quantum Physics

6 pages, 2 postscript figures, typos corrected, approximation clarified

Scientific paper

Shegelski, Kavka, and Hynbida have developed a method for calculating the lifetime of a particle initially localized in a potential well exactly quantum mechanically by employing a heuristic expression for the lifetime . Their method allows for the inclusion of a bound state, and their results for tunneling through a centrifugal barrier demonstrate the major role that bound states play in determining the lifetime. In this comment, I show that one can greatly simplify the analysis by calculating ^(1/2) instead. Results obtained are exact when no bound state is present. In the presence of a bound state the results are only approximate but still illustrate the influence that the presence of a bound state has on the lifetime.

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