9 citations · 58 across the 14 of their papers we have counts for
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Schrödinger particle in magnetic and electric fields in Lobachevsky and Riemann spaces
A. A. Bogush, V. M. Red'kov, G. G. Krylov
Schrödinger 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.…
Duffin-Kemmer-Petiau formalism reexamined: non-relativistic approximation for spin 0 and spin 1 particles in a Riemannian space-time
A. A. Bogush, V. V. Kisel, N. G. Tokarevskaya +1
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 ap…
4 x 4 matrices in Dirac parametrization: inversion problem and determinant
V. M. Red'kov, A. A. Bogush, N. G. Tokarevskaya
Parametrization of complex 4 x 4 - matrices G in terms of Dirac tensor parameters (A,B,A_{l},B_{l},F_{kl}) or equivalent four complex 4-vectors (k,m,n,l) is investigated. In the gi…
The Runge-Lenz vector for quantum Kepler problem in the space of positive constant curvature and complex parabolic coordinates
A. A. Bogush, V. S. Otchik, V. M. Red'kov
By analogy with the Lobachevsky space H_{3}, generalized parabolic coordinates (t_{1},t_{2},ϕ) are introduced in Riemannian space model of positive constant curvature S_{3}. In thi…
On unique parametrization of the linear group GL(4.C) and its subgroups by using the Dirac matrix algebra basis
A. A. Bogush, V. M. Red'kov
A unifying overview of the ways to parameterize the linear group GL(4.C) and its subgroups is given. As parameters for this group there are taken 16 coefficients G = G(A,B,A_{k}, B…
Petras Theory of a Spin-1/2 Particle in Electromagnetic and Gravitational Fields
A. A. Bogush, V. V. Kisel, N. G. Tokarevskaya +1
20-component Petras theory of 1/2-spin particle with anomalous magnetic momentum in presence of external electromagnetic and gravitational fields is investigated. The gravitation f…