5 papers · 1 filter
Relationship between quantum mechanics with and without monopoles
Levon Mardoyan, Armen Nersessian, Armen Yeranyan
We show that the inclusion of the monopole field in the three- and five-dimensional spherically symmetric quantum mechanical systems, supplied by the addition of the special centri…
Hyperboloid, instanton, oscillator
Stefano Bellucci, Levon Mardoyan, Armen Nersessian
We suggest the exactly solvable model of the oscillator on a four-dimensional hyperboloid which interacts with a SU(2) instanton. We calculate its wavefunctions and spectrum.
Oscillator potential for the four-dimensional Hall effect
Levon Mardoyan, Armen Nersessian
We suggest the exactly solvable model of oscillator on the four-dimensional sphere interacting with the SU(2) Yang monopole. We show, that the properties of the model essentially d…
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 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…