Write down the quantum Boltzmann equation for the evolution of a population of fermionic particles interacting with
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Write down the quantum Boltzmann equation for the evolution of a population of fermionic particles interacting with a population of phonons through an interaction term of the form
where a†k3 is the (bosonic) phonon creation operator, and k3 is determined by momentum conservation. This interaction term corresponds to a change of the momentum of an electron due to phonon emission; the number of phonons is not conserved.
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