Annales Henri Poincaré

, Volume 8, Issue 4, pp 749–779

Relativistic Hydrogenic Atoms in Strong Magnetic Fields


DOI: 10.1007/s00023-006-0321-5

Cite this article as:
Dolbeault, J., Esteban, M.J. & Loss, M. Ann. Henri Poincaré (2007) 8: 749. doi:10.1007/s00023-006-0321-5


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.

Copyright information

© Birkhäuser Verlag Basel/Switzerland 2007

Authors and Affiliations

  • Jean Dolbeault
    • 1
  • Maria J. Esteban
    • 1
  • Michael Loss
    • 2
  1. 1.Ceremade (UMR CNRS no. 7534)Université Paris DauphineParis Cédex 16France
  2. 2.School of MathematicsGeorgia Institute of TechnologyAtlantaUSA