Algebraic Solution of the Supersymmetric Hydrogen Atom
High Energy Physics - Theory
2008-11-26 v1
Abstract
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.
Cite
@article{arxiv.hep-th/0511231,
title = {Algebraic Solution of the Supersymmetric Hydrogen Atom},
author = {A. Wipf and A. Kirchberg and J. D. Länge},
journal= {arXiv preprint arXiv:hep-th/0511231},
year = {2008}
}
Comments
11 pages, 2 figures (pstricks), Proceedings of the 4th International Symposium "Quantum Theory and Symmetries" (QTS-4), 15-21 August 2005, Varna, Bulgaria; needs qts-proc.cls