Abstract
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, j 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 .
Work partially supported by U.S. National Science 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.
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Fröhlich, J., Lieb, E.H., Loss, M. (2001). Stability of Coulomb Systems with Magnetic Fields. In: Thirring, W. (eds) The Stability of Matter: From Atoms to Stars. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04360-8_29
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DOI: https://doi.org/10.1007/978-3-662-04360-8_29
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