Asymptotic behaviors of the eigenvalues of Schrödinger operator with critical potential
Summary: We study the asymptotic behaviors of the discrete eigenvalue of Schrödinger operator \(P(\lambda) = P_0 + \lambda V\) with \(P_0 = - \Delta + q \left(\theta\right) / r^2 \). We obtain the leading terms of discrete eigenvalues of \(P(\lambda)\) when the eigenvalues tend to 0. In particular, we obtain the asymptotic behaviors of eigenvalues when \((P_0 - \alpha)^{- 1}\) has singularity at \(\alpha = 0\).
scientific article; zbMATH DE number 7021856
scientific article