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This article is cited in 3 scientific papers (total in 3 papers)
Pseudoclassical theories of Majorana, Weyl, and Majorana–Weyl particles
G. V. Grigoryana, R. P. Grigoryana, I. V. Tyutinb a Yerevan Physics Institute
b P. N. Lebedev Physical Institute, Russian Academy of Sciences
Abstract:
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.
Received: 24.01.1997
Citation:
G. V. Grigoryan, R. P. Grigoryan, I. V. Tyutin, “Pseudoclassical theories of Majorana, Weyl, and Majorana–Weyl particles”, TMF, 111:3 (1997), 389–401; Theoret. and Math. Phys., 111:3 (1997), 703–713
Linking options:
https://www.mathnet.ru/eng/tmf1016https://doi.org/10.4213/tmf1016 https://www.mathnet.ru/eng/tmf/v111/i3/p389
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Abstract page: | 366 | Full-text PDF : | 229 | References: | 56 | First page: | 3 |
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