11 citations · 68 across the 52 of their papers we have counts for
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On solutions of the Pauli equation in non-static de Sitter metrics
E. M. Ovsiyuk, K. V. Kazmerchuk
A particle with spin 1/2 is investigated both in expanding and oscillating cosmological de Sitter models. It is shown that these space-time geometries admit existence of the non-re…
On geometry influence on the behavior of a quantum mechanical scalar particle with intrinsic structure in external magnetic and electric fields
O. V. Veko, K. V. Kazmerchuk, E. M. Ovsiyuk +2
Relativistic theory of the Cox's scalar not point-like particle with intrinsic structure is developed on the background of arbitrary curved space-time. It is shown that in the most…
Spin 1 particle in the magnetic monopole potential, nonrelativistic approximation. Minkowski and Lobachevski spaces
O. V. Veko, K. V. Kazmerchuk, E. M. Ovsiyuk +3
The spin 1 particle is treated in the presence of the Dirac magnetic monopole in the Minkowski and Lobachevsky spaces. Separating the variables in the frame of the matrix 10-compon…
Spin 1/2 particle in the field of the Dirac string on the background of de Sitter space-time
V. M. Red'kov, E. M. Ovsiyuk, O. V. Veko
The Dirac monopole string is specified for de Sitter cosmological model. Dirac equation for spin 1/2 particle in presence of this monopole has been examined on the background of de…
Exact solutions for a quantum-mechanical particle with spin 1 and additional intrinsic characteristics in a homogeneous magnetic field
V. V. Kisel, E. M. Ovsiyuk, V. M. Red'kov +1
With the use of the general covariant matrix 10-dimensional Petiau-Duffin-Kemmer formalism in cylindrical coordinates exact solutions of the quantum-mechanical equation for a parti…
Parabolic Coordinates and the Hydrogen Atom in Spaces H_{3} and S_{3}
V. M. Red'kov, E. M. Ovsiyuk
The Coulomb problem for Schrödinger equation is examined, in spaces of constant curvature, Lobachevsky H_{3} and Riemann S_{3} models, on the base of generalized parabolic coordina…