dorsal/arxiv
View SchemaA New Time-Scale for Tunneling
| Authors | E. Eisenberg, Y. Ashkenazy |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9610039 |
| URL | https://arxiv.org/abs/quant-ph/9610039 |
| DOI | 10.1007/BF02550449 |
| Journal | Found.Phys. 27 (1997) 191-202 |
Abstract
We study the tunneling through an oscillating delta barrier. Using time periodicity of the model, the time-dependent Schr\"odinger equation is reduced to a simple but infinite matrix equation. Employing Toeplitz matrices methods, the infinite matrix is replaces by a $3\times 3$ matrix, allowing an analytical solution. Looking at the frequency dependence of the transmissionamplitudes, one observes a new time scale which dominates the tunneling dynamics. This time scale differs from the one previously introduced by B\"uttiker and Landauer. The relation between these two is discussed.
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"abstract": "We study the tunneling through an oscillating delta barrier. Using time\nperiodicity of the model, the time-dependent Schr\\\"odinger equation is reduced\nto a simple but infinite matrix equation. Employing Toeplitz matrices methods,\nthe infinite matrix is replaces by a $3\\times 3$ matrix, allowing an analytical\nsolution. Looking at the frequency dependence of the transmissionamplitudes,\none observes a new time scale which dominates the tunneling dynamics. This time\nscale differs from the one previously introduced by B\\\"uttiker and Landauer.\nThe relation between these two is discussed.",
"arxiv_id": "quant-ph/9610039",
"authors": [
"E. Eisenberg",
"Y. Ashkenazy"
],
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"quant-ph"
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"doi": "10.1007/BF02550449",
"journal_ref": "Found.Phys. 27 (1997) 191-202",
"title": "A New Time-Scale for Tunneling",
"url": "https://arxiv.org/abs/quant-ph/9610039"
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