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

Abstract

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 generalise our approach to a wider class of Dirac operators depending on 4 parameters.

arXiv comment14 pages

References in corpus (6)

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Cited by in corpus (2)

• Graded colour Lie superalgebras for solving Lévy-Leblond equations
• On fractional semidiscrete Dirac operators of Lévy-Leblond type