MPS-RR 2000-13

March 2000

# On the semiclassical asymptotics of the current and magnetisation of a non-interacting electron gas at zero temperature in a strong constant magnetic field

by:

### Søren Fournais

We calculate the asymptotic form of the quantum
current/magnetisation of a non-interacting electron
gas at zero temperature. The calculation uses
coherent states and a novel commutator identity for
the current.

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This paper has now been published in *Ann. Henri Poincaré 2, 1189--1212 (2001)*