Bulg. J. Phys. vol.33 no.3 (2006), pp. 206-216

Algebraic Solution of the Supersymmetric Hydrogen Atom

A. Wipf1, A. Kirchberg2, D. Länge3
1FS-Univ. Jena, Max-Wien-Platz 1, Theor. Phys. Institut, D-07743 Jena
2Reichenberger Straße 9, 01129 Dresden
3LM-Univ. München, Sektion Physik, Theresienstr. 37, D-80333 München
Abstract. The N=2 supersymmetric extension of the Schrödinger-Hamilton}ian with 1/r-potential in d dimension is constructed. The system admits a supersymmetrized Laplace-Runge-Lenz vector which extends the rotational SO(d) symmetry to a hidden SO(d+1) symmetry. It is used to determine the discrete eigenvalues with their degeneracies and the corresponding bound state wave functions.

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