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Springer (part of Springer Nature), Annales Henri Poincaré, 4(8), p. 749-779

DOI: 10.1007/s00023-006-0321-5

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Relativistic Hydrogenic Atoms in Strong Magnetic Fields

Journal article published in 2007 by Jean Dolbeault ORCID, Maria J. Esteban, Michael Loss
This paper is available in a repository.
This paper is available in a repository.

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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. oui