English

A discrete version of plane wave solutions of the Dirac equation in the Joyce form

Mathematical Physics 2020-07-02 v1 math.MP

Abstract

We construct a discrete version of the plane wave solution to a discrete Dirac-K\"{a}hler equation in the Joyce form. A geometric discretisation scheme based on both forward and backward difference operators is used. The conditions under which a discrete plane wave solution satisfies a discrete Joyce equation are discussed.

Keywords

Cite

@article{arxiv.1906.08633,
  title  = {A discrete version of plane wave solutions of the Dirac equation in the Joyce form},
  author = {Volodymyr Sushch},
  journal= {arXiv preprint arXiv:1906.08633},
  year   = {2020}
}

Comments

20 pages. arXiv admin note: substantial text overlap with arXiv:1802.00040