Oscillator as a hidden non-Abelian monopole

Abstract

A non--Abelian $SU(2)$ model is constructed for a five--dimensional bound system "charge--dyon" on the basis of the Hurwitz--transformed eight--dimensional isotropic quantum oscillator. The principle of dyon--oscillator duality is formulated; the energy spectrum and wave functions of the system "charge--dyon" are calculated.

6 pages, LaTeX file

Cited by in corpus (6)

• Hidden Symmetry of the Yang--Coulomb System
• Generalized Kaluza-Klein monopole, quadratic algebras and ladder operators
• The charge-dyon bound system in the spherical quantum well
• Superintegrable systems, polynomial algebra structures and exact derivations of spectra
• Coulomb-Oscillator Duality and Scattering Problem in 5-Dimensional Coulomb Field
• SU(2) -- Monopole: Interbasis Expansion