New exact treatment of the perturbed Coulomb interactions
classification
🪐 quant-ph
keywords
exactanalyticalarbitraryatomclosedcoulombdeltadimensions
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A novel method for the exact solvability of quantum systems is discussed and used to obtain closed analytical expressions in arbitrary dimensions for the exact solutions of the hydrogenic atom in the external potential $\Delta V(r)=br+cr^{2}$, which is based on the recently introduced supersymmetric perturbation theory.
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