# Discrete Dirac-K\"ahler and Hestenes equations

@article{Sushch2015DiscreteDA, title={Discrete Dirac-K\"ahler and Hestenes equations}, author={Volodymyr Sushch}, journal={arXiv: Mathematical Physics}, year={2015} }

A discrete analogue of the Dirac equation in the Hestenes form is constructed by introduction the Clifford product on the space of discrete forms. We discuss the relation between the discrete Dirac-K\"{a}hler equation and a discrete Hestenes equation.

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

- Mathematics, Physics
- 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…

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…

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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