- 01-212 S. Fournais
- On the total magnetic moment of large atoms in strong magnetic fields
(184K, Postscript)
Jun 7, 01
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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
predict correctly
(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.
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