Abstract
The Green function method developed by Edwards is applied to an electron gas in a magnetic field interacting with a random array of scatterers. The Green function in the presence of the scatterers is represented as a sum of diagrams. The set of these important when the scattering interaction and the density of scatterers is not too large is summed. The density of states calculated from this Green function is compared with that obtained from a simple relaxation time assumption. The new density of states is used to calculate the susceptibility in the same way as was done by Dingle. It is found that the effect of the scatterers is to shift the de Haas-van Alphen oscillations as well as to reduce their amplitude.
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