PH671

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====== Day 4 ======
Reading: Kittel Appendix F (BTE); A&M Ch 13,16

{{::bte_slides.pdf|Slides}}

Summary:
  * Boltzmann transport equation 
  * BTE with electric field (quantitative - shifts Fermi sphere; elec conductivity for hwk)
  * BTE with temperature gradient (qualitative - blurs Fermi sphere on one side - thermal conductivity)
  * BTE with both (qualitative - thermopower and Peltier)
  * Phonon review. Classical oscillations - longitundinal, transverse; acoustic, optical; Quantum states - phonon number & BE occupation function
  * Relaxation mechanisms for electrical and thermal conductivity

Next time
  * Fermi Golden Rule for scattering probability. Transition matrix element for electron-phonon interaction. Conservation of momentum/energy. Scattering probability. 
  * Impurity scattering. Matthiessen's rule. (Nordheim)
  * Temperature dependence of the electrical and thermal resistivity of metals