Magnetoconductivity of a Fermi Ellipsoid with Anisotropic Relaxation Time

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Abstract
An extremely simple expression is obtained for the isothermal conductivity tensor for an arbitrarily oriented Fermi ellipsoid in an arbitrarily oriented magnetic field. The relationship between a simple kinetic equation and a vector form of the Boltzmann equation is demonstrated, and this relationship is used to show how to include the relaxation time as a tensor quantity. One again obtains a simple result which possesses the general characteristics shown to be required by other workers dealing in a different approximation.