dorsal/arxiv
View SchemaUniversal potential barrier penetration by initially confined wavepackets
| Authors | Er'el Granot, Avi Marchewka |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0608077 |
| URL | https://arxiv.org/abs/quant-ph/0608077 |
| DOI | 10.1103/PhysRevA.76.012708 |
Abstract
The dynamics of an initially sharp-boundary wavepacket in the presence of an arbitrary potential barrier are investigated. It is shown that the penetration through the barrier is universal in the sense that it depends only on the values of the wavefunction and its derivatives at the boundary. The dependence on the derivatives vanishes at long distances from the barrier, where the dynamics are governed solely by the initial value of the wavefunction at the boundary.
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"abstract": "The dynamics of an initially sharp-boundary wavepacket in the presence of an\narbitrary potential barrier are investigated. It is shown that the penetration\nthrough the barrier is universal in the sense that it depends only on the\nvalues of the wavefunction and its derivatives at the boundary. The dependence\non the derivatives vanishes at long distances from the barrier, where the\ndynamics are governed solely by the initial value of the wavefunction at the\nboundary.",
"arxiv_id": "quant-ph/0608077",
"authors": [
"Er\u0027el Granot",
"Avi Marchewka"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevA.76.012708",
"title": "Universal potential barrier penetration by initially confined wavepackets",
"url": "https://arxiv.org/abs/quant-ph/0608077"
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