Quantum Thermal Conductance: Phonon Scattering

This lecture covers the nature of phonons, electron and phonon interaction, and the Landauer formalism for energy transport in nanostructures. It delves into the scattering integral in the Boltzmann equation, discussing the collision between particles, the scattering term, and the Fermi golden rule. The phase-space and Liouville equation are also explored, emphasizing the evolution of the ensemble and the distribution function in phase-space. The session concludes with a detailed examination of the scattering integral in the Boltzmann equation, focusing on the collision between particles, the net gain of particles in quantum states, and transition rates. Various processes like merging and splitting of phonons are discussed.