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On the maximal ionization of atoms in strong magnetic fields

Robert Seiringer
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Abstract

We give upper bounds for the number of spin 1/2 particles that can be bound to a nucleus of charge Z in the presence of a magnetic field B, including the spin-field coupling. We use Lieb's strategy, which is known to yield N_c<2Z+1 for magnetic fields that go to zero at infinity, ignoring the spin-field interaction. For particles with fermionic statistics in a homogeneous magnetic field our upper bound has an additional term of order $Z\times\min{(B/Z^3)^{2/5},1+|\ln(B/Z^3)|^2}$.

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Robert Seiringer. 2000-06-05. On the maximal ionization of atoms in strong magnetic fields. https://doi.org/10.1088/0305-4470%2F34%2F9%2F311

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