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arxiv: math/0607027 · v1 · submitted 2006-07-02 · 🧮 math.AP

Relativistic hydrogenic atoms in strong magnetic fields

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keywords fieldmagneticrelativisticatomsestimatehydrogenicasymptoticbeyond
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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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