dorsal/arxiv
View SchemaClassical Aspects of Quantum Walls in One Dimension
| Authors | Tamas Fulop, Taksu Cheon, Izumi Tsutsui |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0111057 |
| URL | https://arxiv.org/abs/quant-ph/0111057 |
| DOI | 10.1103/PhysRevA.66.052102 |
| Journal | Physical Review A 66 (2002) 052102 (10) |
Abstract
We investigate the system of a particle moving on a half line x >= 0 under the general walls at x = 0 that are permitted quantum mechanically. These quantum walls, characterized by a parameter L, are shown to be realized as a limit of regularized potentials. We then study the classical aspects of the quantum walls, by seeking a classical counterpart which admits the same time delay in scattering with the quantum wall, and also by examining the WKB-exactness of the transition kernel based on the regularized potentials. It is shown that no classical counterpart exists for walls with L < 0, and that the WKB-exactness can hold only for L = 0 and L = infinity.
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"abstract": "We investigate the system of a particle moving on a half line x \u003e= 0 under\nthe general walls at x = 0 that are permitted quantum mechanically. These\nquantum walls, characterized by a parameter L, are shown to be realized as a\nlimit of regularized potentials. We then study the classical aspects of the\nquantum walls, by seeking a classical counterpart which admits the same time\ndelay in scattering with the quantum wall, and also by examining the\nWKB-exactness of the transition kernel based on the regularized potentials. It\nis shown that no classical counterpart exists for walls with L \u003c 0, and that\nthe WKB-exactness can hold only for L = 0 and L = infinity.",
"arxiv_id": "quant-ph/0111057",
"authors": [
"Tamas Fulop",
"Taksu Cheon",
"Izumi Tsutsui"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.66.052102",
"journal_ref": "Physical Review A 66 (2002) 052102 (10)",
"title": "Classical Aspects of Quantum Walls in One Dimension",
"url": "https://arxiv.org/abs/quant-ph/0111057"
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