Asymptotic expansion of self-consistent energy levels of the hydrogen atom in orthogonal electric and magnetic fields

Abstract

We consider the spectral problem for a hydrogen atom in orthogonal electric and magnetic fields with an additional self-consistent field. We obtain an asymptotic expansion of self-consistent energy levels. We find an asymptotic expansion of asymptotic eigenfunctions near the sphere \(|q|=2\). We calculate the asymptotics of their norm in the space \(L^2(\mathbb{R}^3)\).