Abstract
The problem of non-stationary high-field electron transport in semiconductors is handled in the Heisenberg picture, and Langevin equations for the electron operators are derived microscopically for the first time in this case. The properties of the Langevin random force acting on the electron velocity are discussed and a time and electric field dependent k -space diffusion tensor is defined. Its relation with the collision term of the master equation for the electron density matrix is given, which constitutes a generalization of the fluctuation-dissipation theorem to this non-stationary and non-linear situation.
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