A spinor from semiderivatives
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.
Physics, Astronomy, and Materials Science
Dirac equation, Half derivatives, Spinors
Carter, John H. "A Spinor from Semiderivatives." International Journal of Theoretical Physics 47, no. 12 (2008): 3282-3287.
International Journal of Theoretical Physics