Robert Seiringer
On the maximal ionization of atoms in strong magnetic fields
(18K, LaTeX2e)
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 $Z\times\min\left\{(B/Z^3)^{2/5},1+|\ln(B/Z^3)|^2\right\}$.