Questions for oral exam on Solid State Theory:

 

 

  1. Phonons. One-atomic linear chain. Group and phase velocities.

 

  1. Ideal Fermi Gas. Fermi Sphere. Relation between Fermi momentum and density of fermions. Thermodynamics of ideal Fermi Gas.

 

  1. Ideal Bose Gas. Bose-Einstein Condensation. Thermodynamics of ideal Bose Gas.

 

  1. Weakly Interacting Bose Gas. Bogoliubov’s transformation. Excitations in dilute Bose Gas.

 

  1. Superconductivity. Electron-phonon interaction. Cooper’s pairing.

 

  1. Superconductivity. Microscopic theory. BCS theory. Gap equation.

 

  1. Magnetism. Classical and quantum theory of magnetism. Langevin and Brillouin functions.

 

  1. Magnetism. Spin waves in Heisenberg ferromagnets.

 

  1. Transport. The Boltzmann equation for electrons. Collision integral.

 

  1.  Magnetic impurities in non-magnetic metals. Kondo effect.