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A Spinor from Semiderivatives

International Journal of Theoretical Physics volume 47, pages 3282–3287 (2008)Cite this article

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.

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Authors and Affiliations

  1. Department of Physics, Astronomy and Materials Science, Missouri State University, Springfield, MO, 65897, USA

    John H. Carter

Authors
  1. John H. Carter
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Correspondence to John H. Carter.

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Carter, J.H. A Spinor from Semiderivatives. Int J Theor Phys 47, 3282–3287 (2008). https://doi.org/10.1007/s10773-008-9840-9

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

Keywords

  • Half derivatives
  • Spinors
  • Dirac equation