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Open Quantum Systems Decoherence
The case of escape probability as linear in short time
arXiv
Authors: Avi Marchewka, Zeev Schuss
Year
2017
Paper ID
24649
Status
Preprint
Abstract Read
~2 min
Abstract Words
95
Citations
N/A
Abstract
We derive rigorously the short-time escape probability of a quantum particle from its compactly supported initial state, which has a discontinuous derivative at the boundary of the support. We show that this probability is liner in time, which seems to be a new result. The novelty of our calculation is the inclusion of the boundary layer of the propagated wave function formed outside the initial support. This result has applications to the decay law of the particle, to the Zeno behavior, quantum absorption, time of arrival, quantum measurements, and more, as will be discussed separately.
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- We derive rigorously the short-time escape probability of a quantum particle from its compactly supported initial state, which has a discontinuous derivative at the boundary of...
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