A New Construction for Spinor Wave Equations
Abstract
The construction of discrete scalar wave propagation equations in arbitrary inhomogeneous media was recently achieved by using elementary dynamical processes realizing a discrete counterpart of the Huygens principle. In this paper, we generalize this approach to spinor wave propagation. Although the construction can be formulated on a discrete lattice of any dimension, for simplicity we focus on spinors living in 1+1 space-time dimensions. The Dirac equation in the Majorana-Weyl representation is directly recovered by incorporating appropriate symmetries of the elementary processes. The Dirac equation in the standard representation is also obtained by using its relationship with the Majorana-Weyl representation.
Keywords
Cite
@article{arxiv.cond-mat/9808035,
title = {A New Construction for Spinor Wave Equations},
author = {Samuel De Toro Arias and Christian Vanneste},
journal= {arXiv preprint arXiv:cond-mat/9808035},
year = {2011}
}
Comments
29 LaTex pages, 32 combined Tex Figures. to appear in European Physical Journal B