31 Citations
Electromagnetic Field in de Sitter Expanding Universe: Majorana--Oppenheimer Formalism, Exact Solutions in non-Static Coordinates
- Physics
- 2014
Tetrad-based generalized complex formalism by Majorana--Oppenheimer is applied to treat electromagnetic field in extending de Sitter Universe in on-static spherically-symmetric coordinates. With the…
Left-Right symmetric fermions and sterile neutrinos from complex split biquaternions and bioctonions
- Physics
- 2021
In this article we investigate the application of complex split biquaternions and bioctonions to the standard model. We show that the Clifford algebras Cl(3) and Cl(7) can be used for making…
Spin 1 Spinor Construction with Clifford Algera and Dirac Spin 1/2 Spinors
- Physics
- 2020
A compatible spin 1 spinor representation with Clifford algebra (1,3) (or 1,3 Cl ) is derived for both (1 / 2,1 / 2) and (1, 0) (0,1) Lorentz group representations with spin 1/2 particles Dirac…
Spinor Wave Equation of Electromagnetic Field
- Mathematics
- 2014
In this paper, we give two spinor wave equations of free electromagnetic field, corresponding to the reducibility and irreducibility representations D10+D01 and D10 of the proper Lorentz group, which…
Pauli theorem in the description of n-dimensional spinors in the Clifford algebra formalism
- Mathematics
- 2013
We discuss a generalized Pauli theorem and its possible applications for describing n-dimensional (Dirac, Weyl, Majorana, and Majorana-Weyl) spinors in the Clifford algebra formalism. We give the…
Лекции по алгебрам Клиффорда и спинорам@@@Lectures on Clifford algebras and spinors@@@Лекции по алгебрам Клиффорда и спинорам
- Mathematics
- 2012
Majorana–Oppenheimer Approach to Maxwell Electrodynamics. Part I. Minkowski Space
- Physics
- 2012
The Riemann–Silberstein–Majorana–Oppenheimer approach to the Maxwell electrodynamics in presence of electrical sources and arbitrary media is investigated within the matrix formalism. The symmetry of…
Spinor wave equation of photon
- Mathematics
- 2012
In this paper, we give the spinor wave equations of free and unfree photon, which are the differential equation of space-time one order. For the free photon, the spinor wave equations are covariant,…
Maxwell equations in complex form, squaring procedure and separating the variables
- Mathematics
- 2011
The Riemann–Silberstein–Majorana–Oppenheimer complex approach to the Maxwell electrodynamics is investigated within the matrix formalism. Within the squaring procedure we construct four types of…