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

@article{Bao2019SolutionsFT,
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},
year={2019}
}
• Published 5 November 2019
• Mathematics
• 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.
In this paper we introduce a wide class of space-fractional and time-fractional semidiscrete Dirac operators of L´evy-Leblond type on the semidiscrete space-time lattice h Z n × [0 , ∞ ) ( h > 0),

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