Solutions for the Lévy-Leblond or parabolic Dirac equation and its generalizations

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)
Hauptverfasser: Bao, Sijia, Constales, Denis, De Bie, Hendrik, Mertens, Teppo
Format: Artikel
Sprache:eng
Schlagworte:
Dirac equation
Hypergeometric functions
Operators (mathematics)
Physics
Spherical harmonics
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Beschreibung
Zusammenfassung: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.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.5135503