A spinor from semiderivatives

Abstract

Fractional derivatives have been known since the time of Leibniz and have been used in various branches of physics. The present paper shows how they can be used to generate a spinor field, much as the gradient operator generates a vector field. These spinor fields are zero kinetic energy solutions to the Dirac equation.

Department(s)

Physics, Astronomy, and Materials Science

Document Type

Article

DOI

https://doi.org/10.1007/s10773-008-9840-9

Keywords

Dirac equation, Half derivatives, Spinors

Publication Date

12-1-2008

Journal Title

International Journal of Theoretical Physics

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