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.

14 pages

References in corpus (3)

• ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$-graded Lie Symmetries of the Lévy-Leblond Equations
• Supersymmetry of the planar Dirac - Deser-Jackiw-Templeton system, and of its non-relativistic limit
• Non-Relativistic Conformal and Supersymmetries