130 citations · 244 across the 6 of their papers we have counts for
6 papers
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…
Superintegrability on the two dimensional hyperboloid II
E. G. Kalnins, W. Miller, Ye. M. Hakobyan +1
This work is devoted to the investigation of the quantum mechanical systems on the two dimensional hyperboloid which admit separation of variables in at least two coordinate system…
Coulomb-oscillator duality in spaces of constant curvature
E. G. Kalnins, W. Miller, G. S. Pogosyan
In this paper we construct generalizations to spheres of the well known Levi-Civita, Kustaanheimo-Steifel and Hurwitz regularizing transformations in Euclidean spaces of dimensions…
On a Generalized D-Dimensional Oscillator: Interbasis Expansions
Ye. M. Hakobyan, G. S. Pogosyan, A. N. Sissakian
This article deals with nonrelativistic study of a D-dimensional superintegrable system, which generalizes the ordinary isotropic oscillator system. The coefficients for the expans…
On a Generalized Oscillator: Invariance Algebra and Interbasis Expansions
Y. M. Hakobyan, M. Kibler, G. S. Pogosyan +1
This article deals with a quantum-mechanical system which generalizes the ordinary isotropic harmonic oscillator system. We give the coefficients connecting the polar and Cartesian…
Path Integral Discussion for Smorodinsky-Winternitz Potentials: I.\ Two- and Three Dimensional Euclidean Space
C. Grosche, G. S. Pogosyan, A. N. Sissakian
Path integral formulations for the Smorodinsky-Winternitz potentials in two- and three-dimen\-sional Euclidean space are presented. We mention all coordinate systems which separate…