Distribution function of electrons and phonons in semiconductors and semimetals in high electric and quantizing magnetic fields

The distribution function of electrons and phonons interacting with electrons in semiconductors and semimetals in high electric and quantizing magnetic fields as a result of the solution of the coupled system of equations for the density matrixes of electrons and phonons is obtained. The effects of heating of electrons and phonons and their arbitrary mutual drag are taken into account. The dispersion relation of energy of electrons is assumed to be arbitrarily spherically symmetric one. The spectrum of phonons is assumed to be isotropic. The distribution function of electrons, phonons, the amplification coefficient of phonons and the dependence of chemical potential on "E", "H", "n" and "T_e" are obtained. The distribution function of phonons is obtained for arbitrary drift velocities of phonons.