Relativistic hydrogenic atoms in strong magnetic fields
Analysis of PDEs
2009-11-11 v1
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.
Cite
@article{arxiv.math/0607027,
title = {Relativistic hydrogenic atoms in strong magnetic fields},
author = {Jean Dolbeault and Maria J. Esteban and Michael Loss},
journal= {arXiv preprint arXiv:math/0607027},
year = {2009}
}