Oscillator as a hidden non-Abelian monopole

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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.
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