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Quantum mechanics II


  • Relativistic quantum mechanics
    • Quantum mechanics and special relativity - a reminder
      • Quantum mechanics
      • Special relativity
    • Klein-Gordon equation
    • Dirac equation
      • Heuristic derivation
      • Form invariance under Lorentz transformation
      • Bilinear covariants
      • Solutions of the free Dirac equation
      • Construction of wave packets
      • Dirac's theory of holes
      • Nonrelativistic limit: Pauli equation
      • Relativistic hydrogen problem
  • Relativistic quantum field theory
    • Field quantization
      • Field theory
      • Noether theorem
      • Free Klein-Gordon field
        • Lagrange density
        • Quantization
        • Charged Klein-Gordon field
        • Propagator
        • Microcausality
      • Free Dirac field
        • Lagrange density
        • Quantization
        • Fock space
        • Propagator
      • Free electromagnetic field
        • Classical electromagnetic field
        • Quantization
        • Propagator
    • Quantum electrodynamics
      • Electromagnetic interaction
      • S-matrix
      • Wick's theorem
      • Feynman diagrams
      • Feynman rules
      • Anomalous magnetic moment of the electron
  • Path-integral formulation of quantum mechanics
    • Feynman's path integral
      • Propagator
      • Path integral representation of the propagator
      • Harmonic oscillator
      • Path integrals and coherent states
      • Path integrals for fermions