8 citations · 29 across the 4 of their papers we have counts for
5 papers
Vacuum and spacetime signature in the theory of superalgebraic spinors
Vadim Monakhov
We investigated action of operator analogs of Dirac gamma matrices (we called them gamma operators) on a vacuum. We derived formulas for vacuum state vector and operators of the Lo…
Generalization of Dirac conjugation in the superalgebraic theory of spinors
V. V. Monakhov
In the superalgebraic representation of spinors using Grassmann densities and derivatives with respect to them, a generalization of Dirac conjugation is introduced, which provides…
Superalgebraic structure of Lorentz transformations
V. V. Monakhov
Modern relativistic theory of the second quantization of fermion and boson fields is based on the use of the mathematical apparatus of C*-algebras and Lie superalgebras. In this ca…
Dirac matrices as elements of superalgebraic matrix algebra
V. V. Monakhov
The paper considers a Clifford extension of the Grassmann algebra, in which operators are built from Grassmann variables and by the derivatives with respect to them. It is shown th…
Construction of the fermionic vacuum and of fermionic operators of creation and annihilation in the theory of algebraic spinors
Vadim V. Monakhov
We introduced fermionic variables in complex modules over real Clifford algebras of even dimension which are analog of the Witt basis. We built primitive idempotents which are a se…