- 01-212 S. Fournais
- On the total magnetic moment of large atoms in strong magnetic fields
Jun 7, 01
(auto. generated ps),
of related papers
Abstract. We look at the magnetisation of neutral atoms in large
magnetic fields. Asymptotic formulas for the energy exist
with high precision in different regions depending on how
large the nuclear charge $Z$ is compared to the magnetic
field strength $B$. All these formulas take the splitting of
the kinetic energy into Landau levels as the principal
feature and then treat the electric potential as a
perturbation. We prove that these approximate formulas
(to highest order) the total magnetic moment of
the atom. The proof of this fact relies on a "virial theorem"
for Coulomb systems in a constant magnetic field.