The Zeeman effect for the relativistic bound state

@article{Land1995TheZE,
  title={The Zeeman effect for the relativistic bound state},
  author={Martin Land and Lawrence Paul Horwitz},
  journal={Journal of Physics A},
  year={1995},
  volume={28},
  pages={3289-3304}
}
In the context of a relativistic quantum mechanics with invariant evolution parameter, solutions for the relativistic bound-state problem have been found, which yield a spectrum for the total mass coinciding with the non-relativistic Schrodinger energy spectrum. These spectra were obtained by choosing an arbitrary spacelike unit vector n, and restricting the support of the eigenfunctions in spacetime to the subspace of the Minkowski measure space, for which (Xperpendicular to )2=(x-(x.n)n)2>or… 

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An approximately relativistic theory of bound states which ensures Poincare invariance of the atomic system to relative order and the Zeeman interaction Hamiltonian is derived for a two-body system.