Abstract
A variational principle for the electron transport in a magnetic field is described, and the principle is applied to the calculation of the transverse effects of cubic metals in the transverse magnetic field by using an approximate trial function. Our method gives exact solution for the spherical energy hand model. For the anisotropic energy band, our method gives an approximate solution which coincides with the exact solution if the energy dependent relaxation time exists. Relations between the transverse galvanomagnetic and thermomagnetic coefficients, which hold for arbitrary scattering mechanism, are derived.
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