5 citations · 30 across the 11 of their papers we have counts for
11 papers
A symplectic subgroup of a pseudounitary group as a subset of Clifford algebra
Nikolai Marchuk, Roman Dyabirov
Let Cl1(1,3) and Cl2(1,3) be the subsets of elements of the Clifford algebra Cl(1,3) of ranks 1 and 2 respectively. Recently it was proved that the subset Cl2(p,q)+iCl1(p,q) of the…
A coordinateless form of the Dirac equation
N. G. Marchuk
We present a so called Dirac-type tensor equation (DTTE). This equation is written in coordinateless form with the aid of differential operators and . A wave function of DTT…
A concept of Dirac-type tensor equations
Nikolai Marchuk
Considering a four dimensional parallelisable manifold, we develop a concept of Dirac-type tensor equations with wave functions that belong to left ideals of the set of nonhomogene…
P.S. to the paper "Dirac type tensor equations with nonabelian gauge symmetries on pseudo-Riemannian space"
N. G. Marchuk
We improve the concept of our previous paper "Dirac type tensor equations with nonabelian gauge symmetries on pseudo-Riemannian space" and present a new compact formula for the ten…
The Dirac equation vs. the Dirac type tensor equation
N. G. Marchuk
We discuss a connection between the Dirac equation for an electron and the Dirac type tensor equation with gauge symmetry.
Dirac-type tensor equations on a parallelisable manyfolds
N. G. Marchuk
The goal of this work is to extend Dirac-type tensor equations to a curved space. We take four 1-forms (a tetrad) as a unique structure, which determines a geometry of space-time.