Variational-Integral Perturbation Corrections for Hydrogen Atoms in Magnetic Fields

A variational-integral perturbation method (VIPM) has been established by combining the variational perturbation with the integral perturbation. We present the results obtained by the application of VIPM to the ground and excited states associated with the Zeeman effect on a hydrogen atom. We construct correction wave functions and calculate energy corrections for the ground state and some high excited states. These values are compared with results of Smith and Jason et al.; our results are more accurate than those from Smith and Jason, especially in the 4f excited state where we find a very interesting result that when magnetic fields increase, the energy level trap appears.