Particles in Riemannian space, discrete symmetries, the group theory, spinor structures, monopole, quantum mechanics and geometry, particles of high spin, non-relativistic approximation, WKB-approximation.
Main publications:
Red'kov V. M. The structure of singularities and gauge principle. Nonlinear Phenomena in Complex Systems. 2002, Vol. 5, P. 95–107.
Red'kov V. M. On WKB-quantization in Lobachevski and Riemann 3-spaces / Nonlinear phenomena in complex systems. 2003, Vol. 6, P. 654–668.
Red'kov V. M., Tokarevskaya N. G., Kisel V. V. Graviton in a curved space-time background and gauge symmetry. Nonlinear phenomena in complex systems. 2003. Vol. 6, P. 772–778.
Red'kov V. M. Geometry of 3-spaces with spinor structure. Nonlinear Phenomena in Complex Systems. 2004, Vol. 7, P. 106–128.
P. P. Andrusevich, V. M. Red'kov, “Dirac like equations and generalized Majorana fields, intrinsic symmetries”, PFMT, 2024, no. 1(58), 7–15
2021
2.
A. V. Buryy, A. V. Ivashkevich, E. M. Ovsiyuk, V. M. Red'kov, “The structure of the plane waves for spin $2$ field, massive and massless cases”, PFMT, 2021, no. 2(47), 23–34
2018
3.
E. M. Ovsiyuk, O. V. Veko, Ya. A. Voynova, A. D. Koral'kov, V. V. Kisel, V. M. Red'kov, “On describing bound states for a spin $1$ particle in the external Coulomb field”, PFMT, 2018, no. 2(35), 21–33
V. V. Kisel, E. M. Ovsiyuk, Y. A. Voynova, V. M. Red'kov, “Quantum mechanics for a vector particle with quadrupole moment in the external uniform magnetic field”, PFMT, 2017, no. 3(32), 18–27
E. M. Ovsiyuk, A. N. Red'ko, V. V. Kisel, V. M. Red'kov, “Isotopic doublet of the Dirac particles in presence of the non-Abelian monopole: the Pauli approximation”, PFMT, 2016, no. 3(28), 13–22
2013
6.
O. V. Veko, E. M. Ovsiyuk, V. M. Red'kov, “Jones 4-spinors for the partially polarized light”, PFMT, 2013, no. 1(14), 13–18
2012
7.
E. M. Ovsiyuk, O. V. Veko, V. M. Red'kov, “Mueller semigroups of the rank 1 and 2”, PFMT, 2012, no. 2(11), 34–40
V. V. Kudryashov, Yu. A. Kurochkin, E. M. Ovsiyuk, V. M. Red'kov, “Classical Particle in Presence of Magnetic Field, Hyperbolic Lobachevsky and Spherical Riemann Models”, SIGMA, 6 (2010), 004, 34 pp.
Victor M. Red'kov, Andrei A. Bogush, Natalia G. Tokarevskaya, “On Parametrization of the Linear $\mathrm{GL}(4,C)$ and Unitary $\mathrm{SU}(4)$ Groups in Terms of Dirac
Matrices”, SIGMA, 4 (2008), 021, 46 pp.
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