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TMF, 1997, Volume 111, Number 3, Pages 389–401 (Mi tmf1016)  

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.

DOI: https://doi.org/10.4213/tmf1016

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English version:
Theoretical and Mathematical Physics, 1997, 111:3, 703–713

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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

Citation in format AMSBIB
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\paper Pseudoclassical theories of Majorana, Weyl, and Majorana--Weyl particles
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\vol 111
\issue 3
\pages 389--401
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\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1472216}
\zmath{https://zbmath.org/?q=an:0978.81518}
\transl
\jour Theoret. and Math. Phys.
\yr 1997
\vol 111
\issue 3
\pages 703--713
\crossref{https://doi.org/10.1007/BF02634058}
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Galajinsky, AV, “Siegel superparticle, higher-order fermionic constraints, and path integrals”, Nuclear Physics B, 536:1–2 (1998), 435  crossref  mathscinet  adsnasa  isi  scopus  scopus
    2. Deriglazov, AA, “Classical description of spinning degrees of freedom of relativistic particles by means of commuting spinors”, Modern Physics Letters A, 14:10–11 (1999), 709  crossref  mathscinet  adsnasa  isi
    3. Uvarov D.V., Zheltukhin A.A., “N=2 massive superparticle: The minimality principle and K symmetry”, Physical Review D, 61:1 (2000), 015004  crossref  adsnasa  isi  scopus  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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