Abstract
The ground state energy of an atom in the presence of an external magnetic filedB (with the electron spin-field interaction included) can be arbitrarity negative whenB is arbitrarily large. We inquire whether stability can be restored by adding the self energy of the field, ∫B 2. For a hydrogenic like atom we prove that there is a critical nuclear charge,z c , such that the atom is stable forz<z c and unstable forz>z c .
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Communicated by A. Jaffe
Work partically supported by U.S. National Scinece Foundation grant DMS-8405264 during the author's stay at the Institute for Advanced Study, Princeton, NJ, USA
Work partially supported by U.S. National Science Foundation grant PHY-8116101-A03
Work partially supported by U.S. and Swiss National Science Foundation Cooperative Science Program INT-8503858. Current address: Institut f. Mathematik, FU Berlin, Arnimallee 3, D-1000 Berlin 33
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Fröhlich, J., Lieb, E.H. & Loss, M. Stability of coulomb systems with magnetic fields. Commun.Math. Phys. 104, 251–270 (1986). https://doi.org/10.1007/BF01211593
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DOI: https://doi.org/10.1007/BF01211593