The complex electric HF-conductivity σ of a plasma in a magnetic field has been calculated on the basis of the BOLTZMANN transport equation. Negative values of the real part of σ can occur, if the system is in a state of overpopulation, i. e. if ∂f 0 /dp > 0. where f 0 is the momentum distribution function of the free carriers. Furthermore, the collision frequency or the mass of the carriers must be dependent on the momentum p.
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J. Schneider (1960) studied this question.