PHYS 5260 - Graduate Quantum Mechanics - II

View the Syllabus

Lecture Notes

• Lecture set 1: Introduction and overview
  • review of Quantum-I
  • course overview
• Lecture set 2: Approximate methods in quantum mechanics
  • variational theory
  • WKB approximation
  • Time-independent perturbation theory
  • Time-dependent perturbation theory
• Lecture set 3: Applications
  • anharmonic oscillator
  • tunneling
  • double-well potential
  • periodic potential and band structure
  • dc and ac Stark shifts
  • dipole transitions
  • stimulated and spontaneous emission
  • Fermi's golden rule
  • Rabi oscillations
  • Landau-Zener transition
• Lecture set 4: Path integrals
• Lecture set 5: Introduction to quantum field theory
  • classical field theory
  • phonons: quantization of lattice vibrations
  • photons: quantization of EM field
• Lecture set 6: Scattering theory
• Lecture set 7: Dirac equation

Homework Assignments

• Homework 1
• Homework 2
• Homework 3
• Homework 4
• Homework 5
• Homework 6

Additional Documents

• 9 Formulations of Quantum Mechanics