# 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}
}
• Published 25 February 2005
• Physics
• Journal of Mathematical Physics
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 All three Hamiltonians describe N electrons and a fixed nucleus where the Coulomb interaction has been replaced by B-dependent one-dimensional effective (vector valued) potentials but without magnetic field.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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