dorsal/arxiv
View SchemaTunneling time scale of under-the-barrier forerunners
| Authors | Gaston Garcia-Calderon, Jorge Villavicencio |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0210094 |
| URL | https://arxiv.org/abs/quant-ph/0210094 |
Abstract
Time-dependent analytical solutions to Schr\"{o}dinger's equation with quantum shutter initial conditions are used to investigate the issue of the tunneling time of forerunners in rectangular potential barriers. By using a time-frequency analysis, we find the existence of a regime characterized by the opacity of the barrier, where the maximum peak of a forerunner measured at the barrier transmission edge $x=L$ corresponds to a genuine tunneling process. The corresponding time scale represents the tunneling time of the forerunner through the classically forbidden region.
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"abstract": "Time-dependent analytical solutions to Schr\\\"{o}dinger\u0027s equation with\nquantum shutter initial conditions are used to investigate the issue of the\ntunneling time of forerunners in rectangular potential barriers. By using a\ntime-frequency analysis, we find the existence of a regime characterized by the\nopacity of the barrier, where the maximum peak of a forerunner measured at the\nbarrier transmission edge $x=L$ corresponds to a genuine tunneling process. The\ncorresponding time scale represents the tunneling time of the forerunner\nthrough the classically forbidden region.",
"arxiv_id": "quant-ph/0210094",
"authors": [
"Gaston Garcia-Calderon",
"Jorge Villavicencio"
],
"categories": [
"quant-ph"
],
"title": "Tunneling time scale of under-the-barrier forerunners",
"url": "https://arxiv.org/abs/quant-ph/0210094"
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