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On the hydrogen atom via wigner-heisenberg algebraRodrigues, R. de Lima (Rafael)Centro Brasileiro de Pesquisas Físicas (CBPF)2008We extend the usual kustaanheimo-stiefel 4D - 3d mapping to study and discuss a constrained super-wigner oscillator in four dimensions. We show that the physical hydrogen atom is the system that emerges in the bosonic sector of the mapped 3d system.
SUSY shape-invariant hamiltonians for the generalized dirac-coulomb problemRodrigues, R. de Lima (Rafael); Vaidya, Arvind NarayanCentro Brasileiro de Pesquisas Físicas (CBPF)2008A spin 1/2 relativisc particle described by a general potential in terms of the sum of the coulomb potential with a lorentz scalar potential is investigated via supersymmetry in quantum mechanics