Notes on the Theory of Hot Electrons in Semiconductors

抄録

Hot electron problems, or more generally non-equilibrium problems of electrons in semiconductors, are formulated from a new approach, which regards the motion of an electron in energy space as a sort of Brownian motion. This holds in so far as processes which cause large energy change are disregarded. In this case, the behavior of an ensemble of the electrons can be represented by a diffusion equation in the energy space. This diffusion equation is equivalent to the ordinary Boltzmann equation in principle, but the former is simpler than the latter both in physics and in mathematics and can more easily be applied to various non-equilibrium problems.