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- Publications
- Influence
Spin-Zero Cox's particle With Intrinsic Structure: General Analysis in External Electromagnetic and Gravitational Fields
- E. Ovsiyuk
- Physics
- 1 June 2015
Nonrelativistic approximation for quasi-planes waves of a spin 1 particle in Lobachevsky space
- E. Ovsiyuk, K. V. Kazmerchuk
- Physics, Mathematics
- 6 May 2012
Spin 1 particle in Pauli approximation is investigated on the background of the curved space of constant negative curvature, Lobachevsky space. Nonrelativistic approximation is performed in the… Expand
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
Quantum Kepler problem for spin 1/2 particle in spaces on constant curvature. I. Pauli theory
- E. Ovsiyuk
- Physics, Mathematics
- 1 September 2011
Transition to a nonrelativistic Pauli equation in Riemann space of constant positive curvature for a Dirac particle in presence of the Coulomb field is performed in the system of radial equations,… Expand
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
Spin 1/2 particle in the field of the Dirac string on the background of de Sitter space–time
- V. Red'kov, E. Ovsiyuk, O. Veko
- Physics, Mathematics
- 14 September 2011
У космологічній моделі де Сіттера визначено потенціал діраківського монополя.
Досліджено рівняння Дірака в присутності цього поля в статичних координатах простору де
Сіттера. Замість спінорних… Expand
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
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
Maxwell equations in complex form of Majorana–Oppenheimer, solutions with cylindric symmetry in Riemann S3 and Lobachevsky H3 spaces
- A. Bogush, G. Krylov, E. Ovsiyuk, V. Red'kov
- Mathematics, Physics
- 5 July 2009
Complex formalism of Riemann–Silberstein–Majorana–Oppenheimer in Maxwell electrodynamics is extended to the case of arbitrary pseudo-Riemannian space-time in accordance with the tetrad recipe of… Expand
Maxwell equations in complex form, squaring procedure and separating the variables
- V. Kisel', E. Ovsiyuk, V. Red'kov, N. Tokarevskaya
- Mathematics
- 1 June 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… Expand