Constants of Motion for a Spin-½ Particle in the Field of a Dyon

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Abstract
The constants of motion responsible for the spectrum degeneracy of a nonrelativistic spin-½ particle in the field of a dyon are exhibited. In addition to angular momentum, two vector operators are conserved: One generalizes the Runge-Lenz vector while the other has no counterpart for spinless systems. At fixed energy, they satisfy closed commutation relations. An invariance superalgebra including these conserved quantities is discovered when the system is enlarged by the adjunction of a second spin-½ particle.

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