Semiclassical quantisation of the hydrogen atom in crossed electric and magnetic fields

Abstract

This method, based on the adiabatic invariance of semiclassical quantisation conditions (Solov'ev 1978), is used to calculate the energy levels of a three-dimensional, non-integrable system: a hydrogen atom in crossed electric and magnetic fields. The results are presented for a ground state and two excited states, for various ratios of field strengths and angles between the fields. The limitations of the method are discussed.