Pseudoclassical theories of Majorana, Weyl and Majorana--Weyl particles

Details Pseudoclassical theories of Majorana, Weyl and Majorana--Weyl particles Pseudoclassical theories of Majorana, Weyl and Majorana--Weyl particles

1996-08-14

arxiv.org/abs/hep-th/9608088v1

Theor.Math.Phys.111:703-713,1997; Teor.Mat.Fiz.111:389-401,1997

Physics

High Energy Physics

High Energy Physics - Theory

LATEX, 17 pages, no figures

Scientific paper

10.1007/BF02634058

A pseudoclassical theories of Majorana, Weyl and Majorana--Weyl particles in the space--time dimensions $D=2n$ are constructed. The canonical quantization of these theories is carried out and as a result we obtain the quantum mechanical description of neutral particle in $D=2n$ , Weyl particle in $D=2n$ and neutral Weyl particle in $D=4n+2$. In $D=2,4({\rm mod}8)$ dimensional space--time the description of the neutral particle coincides with the field theoretical description of the Majorana particle in the Foldy--Wouthuysen representation. In $D=8k+2$ dimensions the neutral Weyl particle coincides with the Majorana--Weyl particle in the Foldy--Wouthuysen representation.

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