11 citations · 14 across the 2 of their papers we have counts for
7 papers
Exact and quasi-exact solvability of two-dimensional superintegrable quantum systems. I. Euclidean space
E. G. Kalnins, W. Miller, G. S. Pogosyan
In this article we show that separation of variables for second-order superintegrable systems in two-dimensional Euclidean space generates both exactly solvable (ES) and quasi-exac…
Separation of variables and Lie algebra contractions. Applications to special functions
George Pogosyan, Alexey Sissakian, Pavel Winternitz
A review is given of some recently obtained results on analytic contractions of Lie algebras and Lie groups and their applications to special function theory.
Completeness of superintegrability in two-dimensional constant curvature spaces
E. G. Kalnins, J. M. Kress, G. S. Pogosyan +1
We classify the Hamiltonians of all classical superintegrable systems in two dimensional complex Euclidean space with second-order constants of the motion. W…
On Interbasis Expansion for Isotropic Oscillator on Two-Dimensional Sphere
Ye. M. Hakobyan, G. S. Pogosyan
In this article we analyze the isotropic oscillator system on the two-dimensional sphere in the spherical systems of coordinates. The expansion coefficients for transitions between…
Isotropic oscillator in the space of constant positive curvature. Interbasis expansions
Ye. M. Hakobyan, G. S. Pogosyan, A. N. Sissakian +1
The Schrödinger equation is thoroughly analysed for the isotropic oscillator in the three-dimensional space of constant positive curvature in the spherical and cylindrical systems…
On a Generalized Oscillator System: Interbasis Expansions
M. Kibler, L. G. Mardoyan, G. S. Pogosyan
This article deals with a nonrelativistic quantum mechanical study of a dynamical system which generalizes the isotropic harmonic oscillator system in three dimensions. The problem…