Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1998-08-04
Eur.Phys.J.B3:517-534,1998
Physics
Condensed Matter
Disordered Systems and Neural Networks
29 LaTex pages, 32 combined Tex Figures. to appear in European Physical Journal B
Scientific paper
10.1007/s100510050342
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.
Toro Arias Samuel de
Vanneste Christian
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