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

G. V. Grigoryan·R. P. Grigoryan·I. V. Tyutin
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Abstract

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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G. V. Grigoryan, R. P. Grigoryan, I. V. Tyutin. 1996-08-14. Pseudoclassical theories of Majorana, Weyl and Majorana--Weyl particles. https://doi.org/10.1007/bf02634058

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