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The influence functional: Application to tunnelling. (English) Zbl 0878.60086

Summary: The influence functional is introduced as a kernel in an integral equation that gives the probability density at time \(t\) and position \(q\) in terms of the initial probability density. This functional is applied to tunnelling through a square barrier to determine the influence, at different times, of various regions of the incident packet on the transmitted peak.

MSC:

60K40 Other physical applications of random processes
81S30 Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics
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