Hydrogen‐Like Systems in Arbitrary Magnetic Fields A Variational Approch

Abstract

Abstract Variational calculations using a cylindrica Gaussian basis are applied to the problem of hydrogenlike systems in an arbitary magnetic feld. This choic of basis functions allows us to calculate energies and dipole matrix elements for levels corresponding to the ls through 4f levels of the free hydrogen atom. Comparison of the results with earlier calculations in both the high and low field limit show excellent agreement. In the intermediate field regime two previous calculations show marked disargreement in one of the excited state energies. Our results are in agreement with the results of Lee et al.