Quantization of Non-Integrable Systems; the Hydrogen Atom in a Magnetic Field

Abstract

This article is to provide an account of the recent development in the subject of the spectrum of the hydrogen atom in a magnetic field from the correspondence viewpoint between classical and quantum mechanics. There exists a similar system which has achieved a considerable success; namely the anisotropic Kepler problem (AKP)1. In analogy with this, the present subject may be called the diamagnetic Kepler problem (DKP)2.