The decay law can have an irregular character

Details The decay law can have an irregular character The decay law can have an irregular character

2006-03-08

arxiv.org/abs/quant-ph/0603067v1

Physics

Quantum Physics

4 pages, 3 eps figures

Scientific paper

10.1088/1751-8113/40/6/010

Within a well-known decay model describing a particle confined initially within a spherical $\delta$ potential shell, we consider the situation when the undecayed state has an unusual energy distribution decaying slowly as $k\to\infty$; the simplest example corresponds to a wave function constant within the shell. We show that the non-decay probability as a function of time behaves then in a highly irregular, most likely fractal way.

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