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The five-dimensional Dirac equation in the theory of algebraic spinors. / Monakhov, V. V.

In: Bulletin of the Russian Academy of Sciences: Physics, Vol. 81, No. 10, 01.10.2017, p. 1219-1224.

Research output: Contribution to journal › Article › peer-review

Harvard

Monakhov, VV 2017, 'The five-dimensional Dirac equation in the theory of algebraic spinors', Bulletin of the Russian Academy of Sciences: Physics, vol. 81, no. 10, pp. 1219-1224. https://doi.org/10.3103/S1062873817100197

APA

Monakhov, V. V. (2017). The five-dimensional Dirac equation in the theory of algebraic spinors. Bulletin of the Russian Academy of Sciences: Physics, 81(10), 1219-1224. https://doi.org/10.3103/S1062873817100197

Vancouver

Monakhov VV. The five-dimensional Dirac equation in the theory of algebraic spinors. Bulletin of the Russian Academy of Sciences: Physics. 2017 Oct 1;81(10):1219-1224. https://doi.org/10.3103/S1062873817100197

Author

Monakhov, V. V. / The five-dimensional Dirac equation in the theory of algebraic spinors. In: Bulletin of the Russian Academy of Sciences: Physics. 2017 ; Vol. 81, No. 10. pp. 1219-1224.

BibTeX

@article{2f180dd6de8e475181100a1bc29b288c,
title = "The five-dimensional Dirac equation in the theory of algebraic spinors",
abstract = "The Dirac equation is considered in five-dimensional spaces with signatures (2,3), (4,1) and (0,5). The algebraic spinor formalism with the application of fermionic variables is used as the basis of real Clifford algebras and the module over this algebra. It is shown that solutions to the five-dimensional Dirac equation in spaces with signatures (2,3) and (4,1) can be expanded over solutions with zero value of the fifth component of the generalized momentum, and the equation is equivalent to an equation in four-dimensional spacetime.",
author = "Monakhov, {V. V.}",
year = "2017",
month = oct,
day = "1",
doi = "10.3103/S1062873817100197",
language = "English",
volume = "81",
pages = "1219--1224",
journal = "Bulletin of the Russian Academy of Sciences: Physics",
issn = "1062-8738",
publisher = "Allerton Press, Inc.",
number = "10",

}

RIS

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AU - Monakhov, V. V.

PY - 2017/10/1

Y1 - 2017/10/1

N2 - The Dirac equation is considered in five-dimensional spaces with signatures (2,3), (4,1) and (0,5). The algebraic spinor formalism with the application of fermionic variables is used as the basis of real Clifford algebras and the module over this algebra. It is shown that solutions to the five-dimensional Dirac equation in spaces with signatures (2,3) and (4,1) can be expanded over solutions with zero value of the fifth component of the generalized momentum, and the equation is equivalent to an equation in four-dimensional spacetime.

AB - The Dirac equation is considered in five-dimensional spaces with signatures (2,3), (4,1) and (0,5). The algebraic spinor formalism with the application of fermionic variables is used as the basis of real Clifford algebras and the module over this algebra. It is shown that solutions to the five-dimensional Dirac equation in spaces with signatures (2,3) and (4,1) can be expanded over solutions with zero value of the fifth component of the generalized momentum, and the equation is equivalent to an equation in four-dimensional spacetime.

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U2 - 10.3103/S1062873817100197

DO - 10.3103/S1062873817100197

M3 - Article

AN - SCOPUS:85035095029

VL - 81

SP - 1219

EP - 1224

JO - Bulletin of the Russian Academy of Sciences: Physics

JF - Bulletin of the Russian Academy of Sciences: Physics

SN - 1062-8738

IS - 10

ER -

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