Relativistic hydrogenic atoms in strong magnetic fields

Details Relativistic hydrogenic atoms in strong magnetic fields Relativistic hydrogenic atoms in strong magnetic fields

2006-07-02

arxiv.org/abs/math/0607027v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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