CONDUCTION ELECTRON INT HE ANISOTROPIC MEDIUM

A new model for describing free electrons and holes in crystals in the long-wavelength approximation is proposed. The crystalline anisotropy in the framework of this model is introduced by means of correspondin g space-time geometry. The generalized Dirac's equation is constructed and non-relativistic Hamiltonian containing energy terms of the order of c-2 is calculated. It is shown that the spin magnetic components d epend on corresponding effective cyclotron masses. Applicability of th e results of the proposed model to different experiments is discussed. For the one-dimensional case, a hypothesis of para-Fermi statistics i s suggested which may appear to explain one more mechanism of high-T(c ) superconductivity.