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 k 3 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 Vint Uk(ab kk ab kbk), k,k (4 8 17)

Question: 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

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 Vint = Uk(ab+kk + ab kbk), k,k (4.8.17)

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.

Vint = Uk(ab+kk + ab kbk), k,k (4.8.17)

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