167 citations · 421 across the 19 of their papers we have counts for
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Path Integral Approach for Superintegrable Potentials on Spaces of Non-constant Curvature: II. Darboux Spaces DIII and DIV
Christian Grosche, George Pogosyan, Alexei Sissakian
This is the second paper on the path integral approach of superintegrable systems on Darboux spaces, spaces of non-constant curvature. We analyze in the spaces $\DIII$ and $\DIV$ f…
Path Integral Approach for Superintegrable Potentials on Spaces of Non-constant Curvature: I. Darboux Spaces DI and DII
Christian Grosche, George S. Pogosyan, Alexei N. Sissakian
In this paper the Feynman path integral technique is applied for superintegrable potentials on two-dimensional spaces of non-constant curvature: these spaces are Darboux spaces D_I…
Relation of the oscillator and Coulomb systems on spheres and pseudospheres
Armen Nersessian, George Pogosyan
It is shown, that oscillators on the sphere and the pseudosphere are related, by the so-called Bohlin transformation, with the Coulomb systems on the pseudosphere. The even states…
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…