Effective Hamiltonians for Atoms in Very Strong Magnetic Fields

@article{Brummelhuis2005EffectiveHF,
  title={Effective Hamiltonians for Atoms in Very Strong Magnetic Fields},
  author={Raymond Brummelhuis and Pierre Duclos},
  journal={Journal of Mathematical Physics},
  year={2005},
  volume={47},
  pages={032103}
}
We propose three effective Hamiltonians which approximate atoms in very strong homogeneous magnetic fields B modelled by the Pauli Hamiltonian, with fixed total angular momentum with respect to magnetic field axis. All three Hamiltonians describe N electrons and a fixed nucleus where the Coulomb interaction has been replaced by B-dependent one-dimensional effective (vector valued) potentials but without magnetic field. Two of them are solvable in at least the one electron case. We briefly… 
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