The transport equations for a two-dimensional electron gas with spin-orbit interaction are presented. The distribution function is a 2×{}2-matrix in the spin space. Particle and energy conservation laws determine the expressions for the electric current and the energy flow. The derived transport equations are applied to the spin-splitting of a wave packet and to the calculation of the structure factor and the dynamic conductivity.
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Mishchenko et al. (2003) studied this question.
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