Erdos L., Solovej J.P.
Semiclassical eigenvalue estimates for the Pauli operator
with strong non-homogeneous magnetic fields: II. Leading order asymptotic
estimates
(175K, LaTeX)
ABSTRACT. We give the leading order semiclassical
asymptotics for the sum of the negative
eigenvalues of the Pauli operator (in
dimension two and three) with
a strong non-homogeneous magnetic field.
As in \cite{LSY-II} for homogeneous field,
this result can be used to prove that the
magnetic Thomas-Fermi theory gives the
leading order ground state energy of large atoms.
We develop a new localization scheme
well suited to the anisotropic character of the
strong magnetic field. We also use the basic
Lieb-Thirring estimate obtained in our
companion paper \cite{ES-I}.