# A Discrete Dirac–Kähler Equation Using a Geometric Discretisation Scheme

@article{Sushch2018ADD, title={A Discrete Dirac–K{\"a}hler Equation Using a Geometric Discretisation Scheme}, author={Volodymyr Sushch}, journal={Advances in Applied Clifford Algebras}, year={2018}, volume={28}, pages={1-17} }

Discrete models of the Dirac–Kähler equation and the Dirac equation in the Hestenes form are discussed. A discrete version of the plane wave solutions to a discrete analogue of the Hestenes equation is established.

## 2 Citations

A Discrete Version of Plane Wave Solutions of the Dirac Equation in the Joyce Form

- Mathematics, Physics
- 2019

We construct a discrete version of the plane wave solution to a discrete Dirac-Kähler equation in the Joyce form. A geometric discretisation scheme based on both forward and backward difference…

Chiral Properties of Discrete Joyce and Hestenes Equations

- Physics, Mathematics
- 2019

This paper concerns the question of how chirality is realized for discrete counterparts of the Dirac-K\"{a}hler equation in the Hestenes and Joyce forms. It is shown that left and right chiral states…

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