Algebraic Solution of the Supersymmetric Hydrogen Atom
classification
✦ hep-th
keywords
supersymmetricsymmetryadmitsalgebraicatomboundconstructedcorresponding
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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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