Graduate Advanced Physics (PHY 321)

Sample lecture schedule

(based on 25 lectures each of duration 75 minutes).
  • Lecture 1: Canonical field quantization1: scalar field.
  • Lecture 2: Canonical field quantization 2: scalar field.
  • Lecture 3: Dirac equation 1
  • Lecture 4: Dirac equation 2
  • Lecture 5: Gauge symmetries 1: U(1)
  • Lecture 6: Quantization of EM field in radiation gauge.
  • Lecture 7: EM field quantization – coherent states.
  • Lecture 8: Density matrix.
  • Lecture 9: Second quantization for bosons.
  • Lecture 10: Weakly interacting Bose gas, low energy excitations.
  • Lecture 11: Second quantization for fermions.
  • Lecture 12: Weakly interacting Fermi gas.
  • Lecture 13: Gauge symmetries 2: SU(2) and SU(3)
  • Lecture 14: Gauge symmetries 3: symmetry breaking, Goldstone bosons, Higgs mechanism.
  • Lecture 15: Special topics.
  • Lecture 16: Special topics.
  • Lecture 17: Interaction of radiation with atoms 1.
  • Lecture 18: Interaction of radiation with atoms 2.
  • Lecture 19: Rayleigh and Thomson scattering.
  • Lecture 20: Microscopic theory of dielectric function
  • Lecture 21: Microscopic theory of magnetism 1: exchange coupling, Hubbard model.
  • Lecture 22: Microscopic theory of magnetism 2: Heisenberg model, spin waves.
  • Lecture 23: Nonlinear materials 1: multiphoton processes.
  • Lecture 24: Nonlinear materials 2: Raman scattering.
  • Lecture 25: Special topics.
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