dorsal/arxiv
View SchemaKlein paradox for bound states - A puzzling phenomenon
| Authors | Nagalakshmi A Rao, B. A. Kagali |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0607223 |
| URL | https://arxiv.org/abs/quant-ph/0607223 |
| Journal | Mapana, MUS Vol.5(2) 2006, 14 - 18 |
Abstract
While Klein paradox is often encountered in the context of scattering of relativistic particles at a potential barrier, we presently discuss a puzzling situation that arises with the Klein-Gordon equation for bound states. With the usual minimal coupling procedure of introducing the interaction potential, a paradoxical situation arises when the 'hill' becomes a 'well', simulating a bound-state like situation. The phenomenal phenomenon for bound states is contrary to the conventional wisdom of quantum mechanics and is analogous to the well-known Klein paradox, a generic property of relativistic wave equations. PACs Nos. 03.65.Ge, 03.65.Pm
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"abstract": "While Klein paradox is often encountered in the context of scattering of\nrelativistic particles at a potential barrier, we presently discuss a puzzling\nsituation that arises with the Klein-Gordon equation for bound states. With the\nusual minimal coupling procedure of introducing the interaction potential, a\nparadoxical situation arises when the \u0027hill\u0027 becomes a \u0027well\u0027, simulating a\nbound-state like situation. The phenomenal phenomenon for bound states is\ncontrary to the conventional wisdom of quantum mechanics and is analogous to\nthe well-known Klein paradox, a generic property of relativistic wave\nequations.\n PACs Nos. 03.65.Ge, 03.65.Pm",
"arxiv_id": "quant-ph/0607223",
"authors": [
"Nagalakshmi A Rao",
"B. A. Kagali"
],
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"quant-ph"
],
"journal_ref": "Mapana, MUS Vol.5(2) 2006, 14 - 18",
"title": "Klein paradox for bound states - A puzzling phenomenon",
"url": "https://arxiv.org/abs/quant-ph/0607223"
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