dorsal/arxiv
View SchemaWKB approximation for multi-channel barrier penetrability
| Authors | K. Hagino, A. B. Balantekin |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0404092 |
| URL | https://arxiv.org/abs/nucl-th/0404092 |
| DOI | 10.1103/PhysRevA.70.032106 |
| Journal | Phys.Rev. A70 (2004) 032106 |
Abstract
Using a method of local transmission matrix, we generalize the well-known WKB formula for a barrier penetrability to multi-channel systems. We compare the WKB penetrability with a solution of the coupled-channels equations, and show that the WKB formula works well at energies well below the lowest adiabatic barrier. We also discuss the eigen-channel approach to a multi-channel tunneling, which may improve the performance of the WKB formula near and above the barrier.
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"abstract": "Using a method of local transmission matrix, we generalize the well-known WKB\nformula for a barrier penetrability to multi-channel systems. We compare the\nWKB penetrability with a solution of the coupled-channels equations, and show\nthat the WKB formula works well at energies well below the lowest adiabatic\nbarrier. We also discuss the eigen-channel approach to a multi-channel\ntunneling, which may improve the performance of the WKB formula near and above\nthe barrier.",
"arxiv_id": "nucl-th/0404092",
"authors": [
"K. Hagino",
"A. B. Balantekin"
],
"categories": [
"nucl-th",
"quant-ph"
],
"doi": "10.1103/PhysRevA.70.032106",
"journal_ref": "Phys.Rev. A70 (2004) 032106",
"title": "WKB approximation for multi-channel barrier penetrability",
"url": "https://arxiv.org/abs/nucl-th/0404092"
},
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