# 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} }

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.

## One Citation

### On fractional semidiscrete Dirac operators of L\'evy-Leblond type

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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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