11 citations · 22 across the 5 of their papers we have counts for
5 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…
Motion Caused by Magnetic Field in Lobachevsky Space
V. V. Kudryashov, Yu. A. Kurochkin, E. M. Ovsiyuk +1
We study motion of a relativistic particle in the 3-dimensional Lobachevsky space in the presence of an external magnetic field which is analogous to a constant uniform magnetic fi…
Classical Particle in Presence of Magnetic Field, Hyperbolic Lobachevsky and Spherical Riemann Models
V. V. Kudryashov, Yu. A. Kurochkin, E. M. Ovsiyuk +1
Motion of a classical particle in 3-dimensional Lobachevsky and Riemann spaces is studied in the presence of an external magnetic field which is analogous to a constant uniform mag…
On Symmetry Properties of Quaternionic Analogs of Julia Sets
A. A. Bogush, A. Z. Gazizov, Yu. A. Kurochkin +1
By means of theory group analysis, some algebraic and geometrical properties of quaternion analogs of \emph{Julia} sets are investigated. We argue that symmetries, intrinsic to qua…