Expansion-variational studies of hydrogenlike systems in arbitrary magnetic fields

Abstract

We propose an expansion-variational calculation for the evaluation of the energy spectrum of a hydrogenlike system in an arbitrary magnetic field. A field-dependent hydrogen Landau-type basis has been used for the ground state and the lowest 13 excited states. Such a basis, expressed in parabolic coordinates, leads to analytical calculations. The numerical results have been found accurate in the case of both low- and high-field limit. The method proposed here is believed to be very tractable for more complicated problems.