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Publications Influence

Transitivity in the theory of the Lorentz group and the Stokes -- Mueller formalism in optics

- V. Red'kov, E. M. Ovsiuyk
- Mathematics, Physics
- 23 May 2010

Group-theoretical analysis of arbitrary polarization devices is performed, based on the theory of the Lorentz group. In effective "non-relativistic" Mueller case, described by 3-dimensional… Expand

2 1- PDF

On WKB-Quantization for Kepler Problem in Euclide, Riemann and Lobachevsky 3-Space

- V. Red'kov
- Physics
- 24 May 2003

Quantum mechanical WKB-method is elaborated for the known quantum Kepler problem in curved 3-space models Euclide, Riemann and Lobachevsky in the framework of the complex variable function theory.… Expand

3 1- PDF

Schr\"{o}dinger particle in magnetic and electric fields in Lobachevsky and Riemann spaces

- A. Bogush, V. Red'kov, G. Krylov
- Physics
- 20 February 2010

Schr\"{o}dinger equation in Lobachevsky and Riemann 4-spaces has been solved in the presence of external magnetic field that is an analog of a uniform magnetic field in the flat space. Generalized… Expand

14- PDF

Duffin-Kemmer-Petiau formalism reexamined: non-relativistic approximation for spin 0 and spin 1 particles in a Riemannian space-time

- A. Bogush, V. Kisel', N. Tokarevskaya, V. Red'kov
- Physics
- 1 October 2007

It is shown that the generally covariant Duffin-Kemmer-Petiau equation, formulated in the frame of the Tetrode-Weyl-Fock-Ivanenko tetrad formalism, allows for a non-relativistic approximation if the… Expand

12- PDF

Dirac-Kahler equation in curved space-time, relation between spinor and tensor formulations

- V. Red'kov
- Physics, Mathematics
- 11 September 2011

A common view is that generalization of a wave equation on Riemannian space-time is substantially determined by what a particle is - boson or fermion. As a rule, they say that tensor equations for… Expand

4- PDF

Wave functions of a particle with polarizability in the Coulomb potential

- V. Kisel', G. Krylov, E. Ovsiyuk, M. Amirfachrian, V. Red'kov
- Physics, Mathematics
- 15 September 2011

Quantum mechanical scalar particle with polarizability is considered in the presence of the Coulomb field. Separation of variables is performed with the use of Wigner D-functions, the radial system… Expand

1- PDF

Coulomb problem for a Dirac particle in flat Minkowski space and the Heun functions, extension to curved models

- E. Ovsiyuk, V. Red'kov
- Physics, Mathematics
- 26 September 2011

It is shown that there exist several ways to treat the quantum-mechanical Coulomb problem for a Dirac particle in flat Minkowski space with the help of the Heun differential equation, Fuchs's… Expand

1- PDF

On simulating a medium with special reflecting properties by Lobachevsky geometry (One exactly solvable electromagnetic problem)

- E. Ovsiyuk, V. Red'kov
- Physics, Mathematics
- 1 September 2011

Lobachewsky geometry simulates a medium with special constitutive relations. The situation is specified in quasi-cartesian coordinates (x,y,z). Exact solutions of the Maxwell equations in complex… Expand

4- PDF

Complete-return spectrum for a generalized Rosen-Zener two-state term-crossing model

- T. Shahverdyan, D. Mogilevtsev, V. Red'kov, A. Ishkhanyan
- Physics
- 6 February 2014

The general semiclassical time-dependent two-state problem is considered for a specific field configuration referred to as the generalized Rosen-Zener model. This is a rich family of pulse amplitude-… Expand

3- PDF

On the wave functions and energy spectrum for a spin 1 particle in external Coulomb field

- V. Kisel', E. Ovsiyuk, V. Red'kov
- Physics, Mathematics
- 30 August 2011

Quantum-mechanical system -- spin 1 particle in external Coulomb field is studied on the base of the matrix Duffin-Kemmer-Petiau formalism with the use of the tetrad technique. Separation of the… Expand

3- PDF