Abstract
It is shown how symmetries of Dirac equations can be used to obtain constants of motion for nonrelativistic supersymmetric quantum Hamiltonians. In particular, conserved supercharges are found for a spin-1/2 particle in the field of a dyon which yield under anticommutation the generalized Runge-Lenz symmetry of the system.
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This work is supported in part through funds provided by the Natural Sciences and Engineering Research Council (NSERC) of Canada and the Fonds FCAR of the Quebec Ministry of Education.
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Durand, S., Lina, JM. & Vinet, L. Symmetries of massless Dirac equations and supersymmetric quantum mechanics. Lett Math Phys 17, 289–293 (1989). https://doi.org/10.1007/BF00399752
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DOI: https://doi.org/10.1007/BF00399752