The decay law can have an irregular character

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.

4 pages, 3 eps figures

References in corpus (3)

• Quasiparticle Lifetime in a Finite System: A Non--Perturbative Approach
• Sufficient conditions for the anti-Zeno effect
• Complexity, Tunneling and Geometrical Symmetry

Cited by in corpus (2)

• Superintegrable systems with spin and second-order integrals of motion
• Time-of-arrival probabilities and quantum measurements: III Decay of unstable states