Algebraic Solution of the Supersymmetric Hydrogen Atom

Details Algebraic Solution of the Supersymmetric Hydrogen Atom Algebraic Solution of the Supersymmetric Hydrogen Atom

2005-11-23

arxiv.org/abs/hep-th/0511231v1

Bulg.J.Phys.33:206-216,2006

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 2 figures (pstricks), Proceedings of the 4th International Symposium "Quantum Theory and Symmetries" (QTS-4), 15-21

Scientific paper

The N=2 supersymmetric extension of the Schr\"odinger-Hamiltonian 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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