# Discrete Dirac-Kähler equation and its formulation in algebraic form

@article{Sushch2016DiscreteDE, title={Discrete Dirac-K{\"a}hler equation and its formulation in algebraic form}, author={Volodymyr Sushch}, journal={arXiv: Mathematical Physics}, year={2016} }

A relationship between the discrete Dirac-Kahler equation and discrete analogues of some Dirac type equations in the geometric spacetime algebra is discussed. We show that a solution of the discrete Dirac-Kahler equation can be represented as the sum and difference of solutions of discrete Dirac type equations with the corresponding sign of the mass term.

## 4 Citations

A Discrete Dirac–Kähler Equation Using a Geometric Discretisation Scheme

- Mathematics, PhysicsAdvances in Applied Clifford Algebras
- 2018

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…

Discrete versions of some Dirac type equations and plane wave solutions

- Mathematics, Physics
- 2017

A discrete version of the plane wave solution to some discrete Dirac type equations in the spacetime algebra is established. The conditions under which a discrete analogue of the plane wave solution…

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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