THEORETICAL CALCULATION OF ENERGY-LEVELS OF A HYDROGEN-ATOM IN A STRONG MAGNETIC-FIELD

The eleven low-lying energy levels of a hydrogen atom, and its mean ra dius in a uniformly high magnetic field B are calculated in a simple v ariational approach. The potential term containing squared magnetic fi eld in Hamiltonian operator is separated into spherically and nonspher ically symmetric potentials. The influence over levels and radius of t he hydrogen atom is discussed. The results are in good agreement with the recent literatures, but more accurate. We find that the stronger t he magnetic field is, the smaller the mean radius of the hydrogen atom is.