Dynamical Supersymmetry of a Vortex System with 1/r2 Potential
Abstract
The Pauli Hamiltonian for a spin 12 charged particle interacting with a point magnetic vortex and 1/r2 potential exhibits a dynamical supersymmetry Osp(1,1) on the plane except at the origin. Using this symmetry, the spectrum and the wave functions have been obtained. And, the dynamical supersymmetry could be imported to the case when an external harmonic potential is added.
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