S. Fournais
On the Total Magnetic Moment of Large Atoms in Strong Magnetic Fields
The paper is published: Lett. Math. Phys. 59 no. 1 (2002) 33-45

MSC:

81V45 Atomic physics

81Q05 Closed and approximate solutions to the Schrodinger, Dirac, Klein-Gordon and other quantum-mechanical equations

81V70 Many-body theory

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.