Quantum tunneling in the Wigner representation

M. S. Marinov, Bilha Segev

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

Time dependence for barrier penetration is considered in the phase space. An asymptotic phase-space propagator for nonrelativistic scattering on a one-dimensional barrier is constructed. The propagator has a form universal for various initial state preparations and local potential barriers. It is manifestly causal and includes time-lag effects and quantum spreading. Specific features of quantum dynamics which disappear in the standard semiclassical approximation are revealed. The propagator may be applied to calculation of the final momentum and coordinate distributions, for particles transmitted through or reflected from the potential barrier, as well as for elucidating the tunneling time problem.

Original languageEnglish
Pages (from-to)4752-4762
Number of pages11
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume54
Issue number6
DOIs
StatePublished - 1 Jan 1996
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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