Abstract
We present a theory of phonon generation via the Cerenkov effect in rectangular quantum wires (RQWs) based on the quantum kinetic equation for phonon population operator. Analytical expressions for the rate of change of the phonon population and conditions for phonon generation are obtained. Both electrons and phonons are confined. Numerical results for a specific RQW show that the amplitude of the laser field must satisfy additional conditions that are different in comparison with those of the generation of bulk phonons.
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