Solutions for the Lévy-Leblond or parabolic Dirac equation and its generalizations
In this paper, we determine solutions for the Lévy-Leblond operator or a parabolic Dirac operator in terms of hypergeometric functions and spherical harmonics. We subsequently generalize our approach to a wider class of Dirac operators depending on 4 parameters.
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| Veröffentlicht in: | Journal of mathematical physics 2020-01, Vol.61 (1) |
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| container_title | Journal of mathematical physics |
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| creator | Bao, Sijia Constales, Denis De Bie, Hendrik Mertens, Teppo |
| description | In this paper, we determine solutions for the Lévy-Leblond operator or a parabolic Dirac operator in terms of hypergeometric functions and spherical harmonics. We subsequently generalize our approach to a wider class of Dirac operators depending on 4 parameters. |
| doi_str_mv | 10.1063/1.5135503 |
| format | Article |
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| identifier | ISSN: 0022-2488 |
| ispartof | Journal of mathematical physics, 2020-01, Vol.61 (1) |
| issn | 0022-2488 1089-7658 |
| language | eng |
| recordid | cdi_crossref_primary_10_1063_1_5135503 |
| source | AIP Journals; Alma/SFX Local Collection |
| subjects | Dirac equation Hypergeometric functions Operators (mathematics) Physics Spherical harmonics |
| title | Solutions for the Lévy-Leblond or parabolic Dirac equation and its generalizations |
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