The role of initial state reconstruction in short and long time deviations from exponential decay

Abstract

We consider the role of the reconstruction of the initial state in the deviation from exponential decay at short and long times. The long time decay can be attributed to a wave that was, in a classical-like, probabilistic sense, fully outside the initial state or the inner region at intermediate times, i.e., to a completely reconstructed state, whereas the decay during the exponential regime is due instead to a non-reconstructed wave. At short times quantum interference between regenerated and non-regenerated paths is responsible for the deviation from the exponential decay. We may thus conclude that state reconstruction is a ``consistent history'' for long time deviations but not for short ones.

4 pages, 6 figures

References in corpus (3)

• Decoherence, the measurement problem, and interpretations of quantum mechanics
• Classical Equations for Quantum Systems
• Influence of measurement on the life-time and the line-width of unstable systems

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