Research output: Contribution to journal › Article › peer-review
A Superalgebraic Form of the Dirac Equation. / Monakhov, V. V.
In: Bulletin of the Russian Academy of Sciences: Physics, Vol. 83, No. 9, 01.09.2019, p. 1173-1178.Research output: Contribution to journal › Article › peer-review
}
TY - JOUR
T1 - A Superalgebraic Form of the Dirac Equation
AU - Monakhov, V. V.
PY - 2019/9/1
Y1 - 2019/9/1
N2 - Abstract: A spinor theory with automatic second quantization and no need for normalizing operators is constructed, based on a superalgebraic representation of spinors and Dirac matrices. The creation and annihilation operators of spinors are constructed using integrals of Grassmann variable densities in the momentum space and derivatives with respect to them. Formulas for superalgebraic bilinear covariants, and fermionic Lagrangian, and Noether currents are derived.
AB - Abstract: A spinor theory with automatic second quantization and no need for normalizing operators is constructed, based on a superalgebraic representation of spinors and Dirac matrices. The creation and annihilation operators of spinors are constructed using integrals of Grassmann variable densities in the momentum space and derivatives with respect to them. Formulas for superalgebraic bilinear covariants, and fermionic Lagrangian, and Noether currents are derived.
UR - http://www.scopus.com/inward/record.url?scp=85073188468&partnerID=8YFLogxK
U2 - 10.3103/S106287381909017X
DO - 10.3103/S106287381909017X
M3 - Article
AN - SCOPUS:85073188468
VL - 83
SP - 1173
EP - 1178
JO - Bulletin of the Russian Academy of Sciences: Physics
JF - Bulletin of the Russian Academy of Sciences: Physics
SN - 1062-8738
IS - 9
ER -
ID: 47645728