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Centre for Mathematical Physics and Stochastics
Department of Mathematical Sciences, University of Aarhus

Funded by The Danish National Research Foundation

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


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)