dorsal/arxiv
View SchemaSuperluminal effects for quantum tunneling through two successive barriers
| Authors | Vladislav S. Olkhovsky, Erasmo Recami, Giovanni Salesi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0002022 |
| URL | https://arxiv.org/abs/quant-ph/0002022 |
| DOI | 10.1209/epl/i2002-00592-1 |
| Journal | Europhysics Letters, 57 2002 879-884 |
Abstract
We study the phenomenon of one-dimensional non-resonant tunnelling through two successive potential barriers, separated by an intermediate free region R, by analyzing the relevant solutions to the Schroedinger equation. We find that the total traversal time is INDEPENDENT not only of the barrier widths (the so-called "Hartman effect"), but also of the R-width: so that the effective velocity in the region R, between the two barriers, can be regarded as infinite. This agrees with the results known from the corresponding waveguide experiments, which simulated the tunnelling experiment herein considered because of the formal identity between the Schroedinger and the Helmholtz equation [PACS numbers: 73.40.Gk; 03.65.-w; 03.30.+p; 41.20.Jb; 84.40.Az].
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"abstract": "We study the phenomenon of one-dimensional non-resonant tunnelling through\ntwo successive potential barriers, separated by an intermediate free region R,\nby analyzing the relevant solutions to the Schroedinger equation. We find that\nthe total traversal time is INDEPENDENT not only of the barrier widths (the\nso-called \"Hartman effect\"), but also of the R-width: so that the effective\nvelocity in the region R, between the two barriers, can be regarded as\ninfinite. This agrees with the results known from the corresponding waveguide\nexperiments, which simulated the tunnelling experiment herein considered\nbecause of the formal identity between the Schroedinger and the Helmholtz\nequation [PACS numbers: 73.40.Gk; 03.65.-w; 03.30.+p; 41.20.Jb; 84.40.Az].",
"arxiv_id": "quant-ph/0002022",
"authors": [
"Vladislav S. Olkhovsky",
"Erasmo Recami",
"Giovanni Salesi"
],
"categories": [
"quant-ph",
"physics.gen-ph"
],
"doi": "10.1209/epl/i2002-00592-1",
"journal_ref": "Europhysics Letters, 57 2002 879-884",
"title": "Superluminal effects for quantum tunneling through two successive barriers",
"url": "https://arxiv.org/abs/quant-ph/0002022"
},
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