Magnetoconductivity of a Fermi Ellipsoid with Anisotropic Relaxation Time

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.