Abstract
The purpose of this discussion is the extension of some results derived by Lax on the small coupling limit of transport theory. Our results extend the perturbation treatment for small external electric fields to magnetic fields in classical and quantum cases. The quantum results for Ohm's current and the Hall current are derived and compared to the classical results and the conditions for classical limit to exist are examined. A quantum mechanical expression for the Hall coefficient is derived along with the usual expression for the conductivity tensor. This method could be extended to give similar results for magnetoresistance. The single particle approximation is used throughout both sections of the paper.
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