A discrete model of the Dirac-Kähler equation

@article{Sushch2013ADM,
  title={A discrete model of the Dirac-K{\"a}hler equation},
  author={Volodymyr Sushch},
  journal={Reports on Mathematical Physics},
  year={2013},
  volume={73},
  pages={109-125}
}
  • V. Sushch
  • Published 4 July 2013
  • Mathematics
  • Reports on Mathematical Physics
View PDF on arXiv
17 Citations
Background Citations
4
Methods Citations
4
Results Citations
1

17 Citations

Discrete Dirac-Kähler equation and its formulation in algebraic form

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…

On the chirality of a discrete Dirac-K\"ahler equation

A Discrete Dirac–Kähler Equation Using a Geometric Discretisation Scheme

  • V. Sushch
  • Mathematics
    Advances 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…

A Discrete Dirac–Kähler Equation Using a Geometric Discretisation Scheme

  • V. Sushch
  • Mathematics
    Advances 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…

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

  • V. Sushch
  • Mathematics
    Advances in Applied Clifford Algebras
  • 2020
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…

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

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…

2D discrete Hodge-Dirac operator on the torus

  • V. Sushch
  • Mathematics, Computer Science
    Symmetry
  • 2022
The goal of this work is to develop a satisfactory discrete model of the de Rham–Hodge theory on manifolds that are homeomorphic to the torus that is compatible with the Hodge decomposition theorem.

Discrete versions of some Dirac type equations and plane wave solutions

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 conformal group approach to the Dirac–Kähler system on the lattice

Starting from the representation of the (n − 1) + n − dimensional Lorentz pseudo-sphere on the projective space PRn,n, we propose a method to derive a class of solutions underlying to a Dirac–Kahler…

A conformal group approach to the Dirac–Kähler system on the lattice

Starting from the representation of the (n − 1) + n − dimensional Lorentz pseudo‐sphere on the projective space PRn,n , we propose a method to derive a class of solutions underlying to a Dirac–Kähler…

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