On the maximal ionization of atoms in strong magnetic fields

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 $Z\times \min (B/Z^3{)}^{2/5},1+|\ln (B/Z^3){|}^2$.

LaTeX2e, 8 pages

References in corpus (1)

• A One-Dimensional Model for Many-Electron Atoms in Extremely Strong Magnetic Fields: Maximum Negative Ionization

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