dorsal/arxiv
View SchemaQuantum Tunneling in the Wigner Representation
| Authors | M. S. Marinov, Bilha Segev |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9602017 |
| URL | https://arxiv.org/abs/quant-ph/9602017 |
| DOI | 10.1103/PhysRevA.54.4752 |
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 semi-classical 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.
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"abstract": "Time dependence for barrier penetration is considered in the phase space. An\nasymptotic phase-space propagator for nonrelativistic scattering on a one -\ndimensional barrier is constructed. The propagator has a form universal for\nvarious initial state preparations and local potential barriers. It is\nmanifestly causal and includes time-lag effects and quantum spreading. Specific\nfeatures of quantum dynamics which disappear in the standard semi-classical\napproximation are revealed. The propagator may be applied to calculation of the\nfinal momentum and coordinate distributions, for particles transmitted through\nor reflected from the potential barrier, as well as for elucidating the\ntunneling time problem.",
"arxiv_id": "quant-ph/9602017",
"authors": [
"M. S. Marinov",
"Bilha Segev"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.54.4752",
"title": "Quantum Tunneling in the Wigner Representation",
"url": "https://arxiv.org/abs/quant-ph/9602017"
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