Dyon-Oscillator
Duality. Hidden Symmetry of the Yang-Coulomb Monopole
Levon Mardoyan (mardoyan@icas.ysu.am)
Yerevan State University
International Center for Advanced Studies
Alex Manougian str., 1 375025,
Yerevan Armenia
Abstract
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 the Yang monopole coupled to a particle of the isospin by
SU(2) and Coulomb interaction is constructed from the eight-dimensional
quantum oscillator. The generalized runge-Lenz vector and the SO(6) group
of the hidden symmetry are established. It is also shown that group of
hidden symmetry makes it possible to calculate the spectrum of system
by a pure algebraic method.
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