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The decay law can have an irregular character

Pavel Exner·Martin Fraas
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Abstract

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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Pavel Exner, Martin Fraas. 2006-03-08. The decay law can have an irregular character. https://doi.org/10.1088/1751-8113/40/6/010

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