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

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 $$L^2(\mathbb{R}^3)$$ .