dorsal/arxiv
View SchemaSemiclassical Tunneling of Wavepackets with Real Trajectories
| Authors | L. Jaubert, M. A. M. de Aguiar |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0609016 |
| URL | https://arxiv.org/abs/quant-ph/0609016 |
| DOI | 10.1088/0031-8949/75/3/023 |
| Journal | Physica Scripta 75 (2007) 363 |
Abstract
Semiclassical approximations for tunneling processes usually involve complex trajectories or complex times. In this paper we use a previously derived approximation involving only real trajectories propagating in real time to describe the scattering of a Gaussian wavepacket by a finite square potential barrier. We show that the approximation describes both tunneling and interferences very accurately in the limit of small Plank's constant. We use these results to estimate the tunneling time of the wavepacket and find that, for high energies, the barrier slows down the wavepacket but that it speeds it up at energies comparable to the barrier height.
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"abstract": "Semiclassical approximations for tunneling processes usually involve complex\ntrajectories or complex times. In this paper we use a previously derived\napproximation involving only real trajectories propagating in real time to\ndescribe the scattering of a Gaussian wavepacket by a finite square potential\nbarrier. We show that the approximation describes both tunneling and\ninterferences very accurately in the limit of small Plank\u0027s constant. We use\nthese results to estimate the tunneling time of the wavepacket and find that,\nfor high energies, the barrier slows down the wavepacket but that it speeds it\nup at energies comparable to the barrier height.",
"arxiv_id": "quant-ph/0609016",
"authors": [
"L. Jaubert",
"M. A. M. de Aguiar"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0031-8949/75/3/023",
"journal_ref": "Physica Scripta 75 (2007) 363",
"title": "Semiclassical Tunneling of Wavepackets with Real Trajectories",
"url": "https://arxiv.org/abs/quant-ph/0609016"
},
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