Standard

Generalization of Dirac Conjugation in the Superalgebraic Theory of Spinors. / Monakhov, V. V.

в: Theoretical and Mathematical Physics(Russian Federation), Том 200, № 1, 01.07.2019, стр. 1026-1042.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Monakhov, VV 2019, 'Generalization of Dirac Conjugation in the Superalgebraic Theory of Spinors', Theoretical and Mathematical Physics(Russian Federation), Том. 200, № 1, стр. 1026-1042. https://doi.org/10.1134/S0040577919070079

APA

Monakhov, V. V. (2019). Generalization of Dirac Conjugation in the Superalgebraic Theory of Spinors. Theoretical and Mathematical Physics(Russian Federation), 200(1), 1026-1042. https://doi.org/10.1134/S0040577919070079

Vancouver

Monakhov VV. Generalization of Dirac Conjugation in the Superalgebraic Theory of Spinors. Theoretical and Mathematical Physics(Russian Federation). 2019 Июль 1;200(1):1026-1042. https://doi.org/10.1134/S0040577919070079

Author

Monakhov, V. V. / Generalization of Dirac Conjugation in the Superalgebraic Theory of Spinors. в: Theoretical and Mathematical Physics(Russian Federation). 2019 ; Том 200, № 1. стр. 1026-1042.

BibTeX

@article{cd4ab95c39964e96b276ced30f5aa789,
title = "Generalization of Dirac Conjugation in the Superalgebraic Theory of Spinors",
abstract = "In the superalgebraic representation of spinors using Grassmann densities and the corresponding derivatives, we introduce a generalization of Dirac conjugation, and this generalization yields Lorentz-covariant transformations of conjugate spinors. The signature of the generalized gamma matrices, the number of them, and the decomposition of second quantization with respect to momenta are given by a variant of the generalized Dirac conjugation and by the requirement that the algebra of canonical anticommutation relations should be preserved under transformations of spinors and conjugate spinors.",
keywords = "CAR algebra, causality, charge operator, Clifford algebra, Dirac conjugation, Dirac matrix, Lorentz covariance, Lorentz transformation, second quantization, spinor, REPRESENTATION, SUPERANALYSIS",
author = "Monakhov, {V. V.}",
year = "2019",
month = jul,
day = "1",
doi = "10.1134/S0040577919070079",
language = "English",
volume = "200",
pages = "1026--1042",
journal = "Theoretical and Mathematical Physics (Russian Federation)",
issn = "0040-5779",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Generalization of Dirac Conjugation in the Superalgebraic Theory of Spinors

AU - Monakhov, V. V.

PY - 2019/7/1

Y1 - 2019/7/1

N2 - In the superalgebraic representation of spinors using Grassmann densities and the corresponding derivatives, we introduce a generalization of Dirac conjugation, and this generalization yields Lorentz-covariant transformations of conjugate spinors. The signature of the generalized gamma matrices, the number of them, and the decomposition of second quantization with respect to momenta are given by a variant of the generalized Dirac conjugation and by the requirement that the algebra of canonical anticommutation relations should be preserved under transformations of spinors and conjugate spinors.

AB - In the superalgebraic representation of spinors using Grassmann densities and the corresponding derivatives, we introduce a generalization of Dirac conjugation, and this generalization yields Lorentz-covariant transformations of conjugate spinors. The signature of the generalized gamma matrices, the number of them, and the decomposition of second quantization with respect to momenta are given by a variant of the generalized Dirac conjugation and by the requirement that the algebra of canonical anticommutation relations should be preserved under transformations of spinors and conjugate spinors.

KW - CAR algebra

KW - causality

KW - charge operator

KW - Clifford algebra

KW - Dirac conjugation

KW - Dirac matrix

KW - Lorentz covariance

KW - Lorentz transformation

KW - second quantization

KW - spinor

KW - REPRESENTATION

KW - SUPERANALYSIS

UR - http://www.scopus.com/inward/record.url?scp=85070311340&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/generalization-dirac-conjugation-superalgebraic-theory-spinors

U2 - 10.1134/S0040577919070079

DO - 10.1134/S0040577919070079

M3 - Article

AN - SCOPUS:85070311340

VL - 200

SP - 1026

EP - 1042

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 1

ER -

ID: 45017108