activity
20092025
most citedSome statistical aspects of the spinor field Fermi-Bose duality

17 citations · 33 across the 16 of their papers we have counts for

collaborators

16 papers

physics.optics2025

The Mass and Velocity of Light from Energy and Momentum Conservation

Volodimir Simulik, Denys I. Bondar

While the numerical value of the speed of light is known with extraordinary precision, its theoretical definition remains a subject of fundamental interest. We show that the defini…

math-ph2024

The Dirac Equation Near Centenary: a Contemporary Introduction to the Dirac Equation Consideration

V. M. Simulik

More then 35 approaches to the Dirac equation derivation are presented. The various physical principles and mathematical methods are used. A review of well-known and not enough kno…

hep-th2022

On the "old" and "new" relativistic wave equations for the particle having spin s=3/2

V. M. Simulik, I. I. Vyikon

Relativistic wave equation of motion without redundant components for the particle having spin 3/2 has been considered. In order to show the newness a comparison with the known equ…

physics.gen-ph2021

On the 256-dimensional gamma matrix representation of the Clifford algebra Cl(1,7) and its relation to the Lie algebra SO(1,9)

V. M. Simulik, I. I. Vyikon

Extended gamma matrix Clifford--Dirac and SO(1,9) algebras in the terms of matrices have been considered. The 256-dimensional gamma matrix representation of Clifford a…

math-ph2019★ 1 cited

On the hidden symmetries of relativistic hydrogen atom

Volodimir Simulik

The Dirac equation in the external Coulomb field is proved to possess the symmetry determined by the 31 operators, which form the 31-dimensional algebra. Two different fermionic re…

physics.atom-ph2017

Calculations for electron-impact ionization of magnesium and calcium atoms in the method of interacting configurations in the complex number representation

V. M. Simulik, Y-N. Y. Tsmur, R. V. Tymchyk +1

Next investigations in our program of transition from the He atom to the complex atoms description have been presented. The method of interacting configurations in the complex numb…