dorsal/arxiv
View SchemaSolution of the one-dimensional Dirac equation with a linear scalar potential
| Authors | John R. Hiller |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0111011 |
| URL | https://arxiv.org/abs/quant-ph/0111011 |
| DOI | 10.1119/1.1456074 |
| Journal | Am.J.Phys. 70 (2002) 522 |
Abstract
We solve the Dirac equation in one space dimension for the case of a linear, Lorentz-scalar potential. This extends earlier work of Bhalerao and Ram [Am. J. Phys. 69 (7), 817-818 (2001)] by eliminating unnecessary constraints. The spectrum is shown to match smoothly to the nonrelativistic spectrum in a weak-coupling limit.
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"abstract": "We solve the Dirac equation in one space dimension for the case of a linear,\nLorentz-scalar potential. This extends earlier work of Bhalerao and Ram [Am. J.\nPhys. 69 (7), 817-818 (2001)] by eliminating unnecessary constraints. The\nspectrum is shown to match smoothly to the nonrelativistic spectrum in a\nweak-coupling limit.",
"arxiv_id": "quant-ph/0111011",
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"doi": "10.1119/1.1456074",
"journal_ref": "Am.J.Phys. 70 (2002) 522",
"title": "Solution of the one-dimensional Dirac equation with a linear scalar potential",
"url": "https://arxiv.org/abs/quant-ph/0111011"
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