Classical picture of post-exponential decay

Details Classical picture of post-exponential decay Classical picture of post-exponential decay

2010-03-24

arxiv.org/abs/1003.4659v2

Physical Review A (2010)

Physics

Quantum Physics

Scientific paper

Post-exponential decay of the probability density of a quantum particle leaving a trap can be reproduced accurately, except for interference oscillations at the transition to the post-exponential regime, by means of an ensemble of classical particles emitted with constant probability per unit time and the same half-life as the quantum system. The energy distribution of the ensemble is chosen to be identical to the quantum distribution, and the classical point source is located at the scattering length of the corresponding quantum system. A 1D example is provided to illustrate the general argument.

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