Studies of the quadratic Zeeman effect. I. Application of the sturmian functions

Abstract

The hydrogen atom in a strong magnetic field is represented by means of sturmian functions, which offer a complete basis which is well adapted to describing the distortion induced by the field. Methods of computation of the eigenvalue spectrum using this basis are described, and a critical comparison made with results obtained by use of the incomplete basis of hydrogenic radial functions. A brief account is given of the techniques employed for dealing with the very large matrices appearing in the calculations.