A New Construction for Spinor Wave Equations

Дата и время публикации : 1998-08-04T13:11:10Z

Авторы публикации и институты :
Samuel De Toro Arias (LPMC Nice, CNRS)
Christian Vanneste (LPMC Nice, CNRS)

Ссылка на журнал-издание: Eur.Phys.J.B3:517-534,1998
Коментарии к cтатье: 29 LaTex pages, 32 combined Tex Figures. to appear in European Physical Journal B
Первичная категория: cond-mat.dis-nn

Все категории : cond-mat.dis-nn

Краткий обзор статьи: 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.

Category: Physics