In this paper the N = 2 supersymmetric extension of the Schrodinger Hamiltonian with 1/r-potential in arbitrary space-dimensions is constructed. The supersymmetric hydrogen atom admits a conserved Laplace–Runge–Lenz vector which extends the rotational symmetry SO(d) to a hidden SO(d+1) symmetry. This symmetry of the system is used to determine the discrete eigenvalues with their degeneracies and the corresponding bound state wave functions.
Información general
Fecha de publicación:febrero 2003
Idioma del documento:Inglés
Revista:Annals of Physics; vol. 303, no. 2
Institución de origen:Facultad de Ciencias Exactas; Instituto de Física La Plata
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