Semianalytic theory of Rydberg electron diamagnetism

Abstract
The dynamics of a Rydberg electron in a magnetic field is examined for clues to the analytic structure of the electron wave function. A multichannel phase-amplitude formulation proves successful in the intermediate range of radial distances, where the onset of diamagnetism reshapes the Coulomb wave functions. Numerical integration of first-order equations in this range serves to illustrate the evolution of wave functions.