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

  title={Solutions for the L{\'e}vy-Leblond or parabolic Dirac equation and its generalizations},
  author={Sijia Bao and Denis Constales and Hendrik De Bie and Teppo Mertens},
  journal={Journal of Mathematical Physics},
In this paper we determine solutions for the Levy-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. 

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