7 citations · 10 across the 4 of their papers we have counts for
4 papers
Kepler motion on single-sheet hyperboloid
Yu. A. Kurochkin, V. S. Otchik, L. G. Mardoyan +2
The classical Kepler-Coulomb problem on the single-sheeted hyperboloid is solved in the framework of the Hamilton--Jacobi equation. We have proven that all the bounded or…
Eigenfunction expansions in the imaginary Lobachevsky space
Yu. A. Kurochkin, V. S. Otchik, D. R. Petrosyan +1
Eigenfunctions of the Schrodinger equation with the Coulomb potential in the imaginary Lobachevsky space are studied in two coordinate systems admitting solutions in terms of hyper…
Electromagnetic Waves in the De Sitter Space
V. S. Otchik, V. M. Red'kov
5-Dimensional wave equation for a massive particle of spin 1 in the background of de Sitter space-time model is solved in static coordinates. The spherical 5-dimensional vectors $A…
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…