Abstract
The radial Schrödinger equation with Coulomb potential perturbed on a compact set is considered. An asymptotic formula for the discrete spectrum is obtained. It follows from this formula that the quantum defect tends to a constant when the principal quantum number tends to infinity. An explicit expression of this constant through the perturbation is obtained.
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Shubov, M.A. Asymptotics of the discrete spectrum for a radial Schrödinger operator with nearly Coulomb potential. Integr equ oper theory 14, 586–608 (1991). https://doi.org/10.1007/BF01204267
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DOI: https://doi.org/10.1007/BF01204267