An analytical approach to studying non-exponential decay

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

Deviations from exponential decay have been numerically established for wavefunctions initially set inside potential wells of finite depth. The survival probability features oscillations about an initially non-exponential median curve. An analytical solution is developed for certain even-parity potentials to further understand this behavior. A connection between single-particle and multi-particle systems is investigated and shown to lead to the known exponential decay law for large systems.

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