Pseudoclassical theories of Majorana, Weyl, and Majorana--Weyl particles
Teoretičeskaâ i matematičeskaâ fizika, Tome 111 (1997) no. 3, pp. 389-401
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Pseudoclassical theories of Majorana, Weyl and Majorana–Weyl particles in even-dimensional space-times are constructed. The canonical quantization of these theories is carried out and as a result the quantum mechanical description of neutral particle in $D=2n$, Weyl particle in $D=2n$ and neutral Weyl particle in $D=4n+2$ is obtained. In $D=2,4\pmod8$ 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 description of neutral Weyl particle coincides with the description of Majorana–Weyl particle.
@article{TMF_1997_111_3_a5,
author = {G. V. Grigoryan and R. P. Grigoryan and I. V. Tyutin},
title = {Pseudoclassical theories of {Majorana,} {Weyl,} and {Majorana--Weyl} particles},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {389--401},
publisher = {mathdoc},
volume = {111},
number = {3},
year = {1997},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1997_111_3_a5/}
}
TY - JOUR AU - G. V. Grigoryan AU - R. P. Grigoryan AU - I. V. Tyutin TI - Pseudoclassical theories of Majorana, Weyl, and Majorana--Weyl particles JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1997 SP - 389 EP - 401 VL - 111 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1997_111_3_a5/ LA - ru ID - TMF_1997_111_3_a5 ER -
%0 Journal Article %A G. V. Grigoryan %A R. P. Grigoryan %A I. V. Tyutin %T Pseudoclassical theories of Majorana, Weyl, and Majorana--Weyl particles %J Teoretičeskaâ i matematičeskaâ fizika %D 1997 %P 389-401 %V 111 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1997_111_3_a5/ %G ru %F TMF_1997_111_3_a5
G. V. Grigoryan; R. P. Grigoryan; I. V. Tyutin. Pseudoclassical theories of Majorana, Weyl, and Majorana--Weyl particles. Teoretičeskaâ i matematičeskaâ fizika, Tome 111 (1997) no. 3, pp. 389-401. http://geodesic.mathdoc.fr/item/TMF_1997_111_3_a5/