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Quasi-distribution of tunneling time
Authors:Norifumi Yamada
Institution:1. Department of Information Science, Fukui University, Bunkyo 3-9-1, 910-8507, Fukui, Fukui, Japan
Abstract:Using real time Feynman histories, a quasi-distribution of tunneling time Q(τ) is introduced. For the tunneling time of resident time type, an explicit expression for Q is shown for square barriers. Q becomes oscillatory as the barrier becomes opaque. Some well-known tunneling times fall within the range of τ where Q takes non-negligible values. The formal “average” and the “variance” of the tunneling time are found to be related to known tunneling times. It is thus demonstrated that the quasi-distribution extracts the temporal information about tunneling from real time Feynman histories.
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