Hidden Symmetry of the Yang--Coulomb System
L.G. Mardoyan, A.N. Sissakian, V.M. Ter--Antonyan
TL;DR
This paper explores the hidden SO(6) symmetry in a Yang monopole coupled with an isospin particle under Coulomb interaction, enabling algebraic spectrum calculation for this complex quantum system.
Contribution
It establishes the generalized Runge--Lenz vector and reveals the SO(6) hidden symmetry in the Yang--Coulomb system, providing a new algebraic approach to spectrum determination.
Findings
Identification of SO(6) hidden symmetry
Construction of generalized Runge--Lenz vector
Algebraic calculation of the spectrum
Abstract
The bound system composed of the Yang monopole coupled to a particle of the isospin by the SU(2) and Coulomb interaction is considered. The generalized Runge--Lenz vector and the SO(6) group of hidden symmetry are established. It is also shown that the group of hidden symmetry make it possible to calculate the spectrum of the system by a pure algebraic method.
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