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