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Comment on "Evolution of a Quasi-Stationary State"

Duane A. Dicus, Wayne W. Repko, Roy F. Schwitters, Todd M. Tinsley

quant-pharXiv:quant-ph/0109053

Abstract

Approximately forty years ago it was realized that the time development of decaying systems might not be precisely exponential. Rolf Winter (Phys. Rev. 123, 1503 (1961)) analyzed the simplest nontrivial system - a particle tunneling out of a well formed by a wall and a delta-function. He calculated the probability current just outside the well and found irregular oscillations on a short time scale followed by an exponential decrease followed by more oscillations and finally by a decrease as a power of the time. We have reanalyzed this system, concentrating on the survival probability of the particle in the well rather than the probability current, and find a different short time behavior.

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