 96404 Erdos L., Solovej J.P.
 Semiclassical eigenvalue estimates for the Pauli operator
with strong nonhomogeneous magnetic fields: II. Leading order asymptotic
estimates
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Sep 9, 96

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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 nonhomogeneous magnetic field.
As in \cite{LSYII} for homogeneous field,
this result can be used to prove that the
magnetic ThomasFermi 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
LiebThirring estimate obtained in our
companion paper \cite{ESI}.
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