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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

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
Full Text: DOI
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