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Quantum mechanics II


  • Relativistic quantum field theory - Motivation
  • Covariant formulation of special relativity
  • Classical field theory
    • Lagrange formalism for fields
    • Noether theorem
  • Free Klein-Gordon field
    • Lagrange density
    • Quantization of the real Klein-Gordon field
    • Complex Klein-Gordon field
    • Propagator
    • Microcausality
  • Free Dirac field
    • Spinor representations
      • Spinor representation of the three-dimensional rotation group
      • Spinor representation of the Lorentz group
    • Dirac equation
    • Transformation properties and bilinear covariants
    • Solutions of the free Dirac equation
    • Quantization of the Dirac field
    • Fock space
    • Propagator
    • Massless Dirac particles
  • Free electromagnetic field
    • Classical electromagnetic field
    • Quantization
    • Propagator
  • Quantum electrodynamics
    • Electromagnetic interaction
    • Discrete symmetries
    • S-matrix
    • Wick's theorem
    • Feynman diagrams
    • Feynman rules
    • Anomalous magnetic moment of the electron
  • Electroweak interaction
    • Weak interaction
    • Massless theory
    • Spontaneous symmetry breaking
    • Higgs-Kibble mechanism
    • Weinberg-Salam model
    • Weak interaction and hadrons