On the Nodal Surfaces of Hydrogen Eigenfunctions in a Magnetic Field

Abstract

A new scheme of “correspondence” between the discrete energy levels of a hydrogen atom in a weak magnetic field ((n, l, m)-levels) and a strong magnetic field ((N, M, ν^±)-levels) is proposed. This is a modification of Kleiner’s assumption about the “conservation of the number of nodal surfaces of the hydrogen eigenfunction” in a more reasonable form. This modification is made by taking into account the mixing of the adiabatic solutions having equal number of nodal surfaces. The fine structure of the exciton magneto-optical spectra in GaSe observed recently by Brebner, Halpern and Mooser is interpreted from this point of view.