The constants of motion responsible for the level degeneracy of a charged, spin 0 particle subjected to harmonic and centrifugal forces and to the field of a magnetic monopole are obtained. Operators closing onto the SU(2)⊕SU(2) algebra are constructed in terms of these conserved quantities. The space of states decomposes into SU(2)⊕SU(2) irreducible modules whose dimensions coincide with the degree of degeneracy of the various energy levels.
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