11 citations · 68 across the 52 of their papers we have counts for
52 papers
A note on the Jacobi stability of dynamical systems via Lagrange geometry and KCC theory
Mircea Neagu, Elena Ovsiyuk
In this paper, via the least squares variational method, we develop the Lagrange geometry (in the sense of nonlinear connection, d-torsions and the deviation curvature tensor) and…
Optics in nonuniform media and Lagrange geometry
M. Neagu, N. G. Krylova, E. M. Ovsiyuk +1
In this paper the equations of motion associated with a Lagrangian inspired by relativistic optics in nonuniform moving media are considered. The model describes optical effects in…
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…
Dirac-Kähler particle in Riemann spherical space: boson interpretation
A. M. Ishkhanyan, O. Florea, E. M. Ovsiyuk +1
In the context of the composite boson interpretation, we construct the exact general solution of the Dirac--Kähler equation for the case of the spherical Riemann space of constant…
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…
Degenerate 4-Dimensional Matrices with Semi-Group Structure
O. Veko, E. Ovsiyuk, A. Oana +3
While dealing with the nontrivial task of classifying Mueller matrices, of special interest is the study of the degenerate Mueller matrices (matrices with vanishing determinant, fo…