5 papers
Coulomb-Oscillator Duality and Scattering Problem in 5-Dimensional Coulomb Field
Levon Mardoyan
It is shown that the Hurwitz transformation connects the eight-dimensional repulsive oscillator problem with the five-dimensional Coulomb problem for continuous spectrum. The hyper…
Dyon-Oscillator Duality. Hidden Symmetry of the Yang-Coulomb Monopole
Levon Mardoyan
In this article, in the framework of an analytical approach and with help of the generalized version of the Hurwitz transformation the five--dimensional bound system composed of th…
SU(2) -- Monopole: Interbasis Expansion
L. G. Mardoyan, A. N. Sissakian
This article deals with a nonrelativistic quantum mechanical study of a charge-dyon system with the SU(2)--monopole in five dimensions. The Schrödinger equation for this system is…
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…
On a Generalized Kepler-Coulomb System: Interbasis Expansions
M. Kibler, L. G. Mardoyan, G. S. Pogosyan
This paper deals with a dynamical system that generalizes the Kepler-Coulomb system and the Hartmann system. It is shown that the Schrödinger equation for this generalized Kepler-C…