From Special Relativity to Feynman Diagrams

A Course in Theoretical Particle Physics for Beginners

  • Special Relativity
    • The Principle of Relativity
      • Galilean Relativity in Classical Mechanics
      • Invariance of Classical Mechanics Under Galilean Transformations
    • The Speed of Light and Electromagnetism
    • Lorentz Transformations
    • Kinematic Consequences of the Lorentz Transformations
    • Proper Time and Space-Time Diagrams
      • Space-Time and Causality
    • Composition of Velocities
      • Aberration Revisited
  • Relativistic Dynamics
    • Relativistic Energy and Momentum
      • Energy and Mass
      • Nuclear Fusion and the Energy of a Star
    • Space-Time and Four-Vectors.
      • Four-Vectors
      • Relativistic Theories and Poincarè Transformations
  • The Equivalence Principle.
  • The Poincaré Group
  • Maxwell Equations and Special Relativity
  • Quantization of the Electromagnetic Field
  • Group Representations and Lie Algebras
  • Lagrangian and Hamiltonian Formalism
  • Quantum Mechanics Formalism
  • Relativistic Wave Equations
  • Quantization of Boson and Fermion Fields
  • Fields in Interaction
  • Appendix A: The Eotvös’ Experiment
  • Appendix B: The Newtonian Limit of the Geodesic Equation
  • Appendix C: The Twin Paradox.
  • Appendix D: Jacobi Identity for Poisson Brackets.
  • Appendix E: Induced Representations and Little Groups
  • Appendix F: SU(2) and SO(3)
  • Appendix G: Gamma Matrix Identities.
  • Appendix H: Simultaneity and Rigid Bodies .