dorsal/arxiv
View SchemaNew exactly solvable periodic potentials for the Dirac equation
| Authors | B. F. Samsonov, A. A. Pecheritsin, E. O. Pozdeeva, M. L. Glasser |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0307159 |
| URL | https://arxiv.org/abs/quant-ph/0307159 |
| DOI | 10.1088/0143-0807/24/4/362 |
| Journal | European Journal of Physics 24 (2003) 435-441 |
Abstract
A new exactly solvable relativistic periodic potential is obtained by the periodic extension of a well-known transparent scalar potential. It is found that the energy band edges are determined by a transcendental equation which is very similar to the corresponding equation for the Dirac Kronig-Penney model. The solutions of the Dirac equation are expressed in terms of elementary functions.
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"abstract": "A new exactly solvable relativistic periodic potential is obtained by the\nperiodic extension of a well-known transparent scalar potential. It is found\nthat the energy band edges are determined by a transcendental equation which is\nvery similar to the corresponding equation for the Dirac Kronig-Penney model.\nThe solutions of the Dirac equation are expressed in terms of elementary\nfunctions.",
"arxiv_id": "quant-ph/0307159",
"authors": [
"B. F. Samsonov",
"A. A. Pecheritsin",
"E. O. Pozdeeva",
"M. L. Glasser"
],
"categories": [
"quant-ph",
"hep-th"
],
"doi": "10.1088/0143-0807/24/4/362",
"journal_ref": "European Journal of Physics 24 (2003) 435-441",
"title": "New exactly solvable periodic potentials for the Dirac equation",
"url": "https://arxiv.org/abs/quant-ph/0307159"
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