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Stability of Coulomb systems with magnetic fields. I: The one-electron atom. (English) Zbl 0595.35098
Authors’ summary: ”The ground state energy of an atom in the presence of an external magnetic field B (with the electron spin-field interaction included) can be arbitrarily negative when B is arbitrarily large. We inquire whether stability can be restored by adding the self energy of the field, $$\int B^ 2$$. For a hydrogenic like atom we prove that there is a critical nuclear charge, $$z_ c$$, such that the atom is stable for $$z<z_ c$$ and unstable for $$z>z_ c.''$$
Reviewer: A.Martynyuk

##### MSC:
 35Q99 Partial differential equations of mathematical physics and other areas of application 35B35 Stability in context of PDEs 81T60 Supersymmetric field theories in quantum mechanics
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