0109053v1

related topics
{time, wave, function}
{cos, sin, state}
{particle, mechanics, theory}
{wave, scattering, interference}
{measurement, state, measurements}
{level, atom, field}

Comment on "Evolution of a Quasi-Stationary State"

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

abstract: Approximately forty years ago it was realized that the time development of decaying systems might not be precisely exponential. Rolf Winter (Phys. Rev. {\bf 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.

oai_identifier:
oai:arXiv.org:quant-ph/0109053
categories:
quant-ph
comments:
8 pages, 6 figures, RevTex4
arxiv_id:
quant-ph/0109053
created:
2001-09-12

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