Stability of Coulomb Systems with Magnetic Fields
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, ∫ 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 .
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