Abstract.
In the Dirac operator framework we characterize and estimate the ground state energy of relativistic hydrogenic atoms in a constant magnetic field and describe the asymptotic regime corresponding to a large field strength using relativistic Landau levels. We also define and estimate a critical magnetic field beyond which stability is lost.
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Communicated by Jean Bellissard.
Submitted: September 25, 2006. Accepted: September 26, 2006.
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Dolbeault, J., Esteban, M.J. & Loss, M. Relativistic Hydrogenic Atoms in Strong Magnetic Fields. Ann. Henri Poincaré 8, 749–779 (2007). https://doi.org/10.1007/s00023-006-0321-5
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DOI: https://doi.org/10.1007/s00023-006-0321-5