On the eigenvalues in problems with spherical symmetry

Abstract
It is shown that the eigenvalues associated with the equation ∇ 2 ψ + { λ — q(r) } = 0, where q(r) is a function of r only and tends to infinity as r → ∞, are the roots of equations of the form ∫ R 0 { λ — q(r) } ½ d r = (½ l + n + ¾) π + δ n , where l and n are integers, and δ n is small when n is large.

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