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• Recollection of Relativity and Classical Field Theory. Symmetries and Nöther's Theorem. Energy-Momentum Tensor. Angular Momentum Tensor.
• Klein-Gordon Equation. Quantization of the Real and Complex Scalar Fields. Creation and Annihilation Operators. Commutation rules. Conserved Charge. Antiparticles.
• Covariant Form of Maxwell's Equations. Gauge Invariance. Quantization of the Electromagnetic Field in Vacuum. Energy and Momentum of the Electromagnetic Field. The Spin of the Photon.
• Dirac's Equation. Spin. Relativistic Invariance. Properties of gamma matrices. Solution of Dirac's Equation in Free Space. Anomalous Magnetic Moment of the Electron. Quantization of Dirac's Field. Fermi-Dirac Statistics.
• Free Field Propagators. Scalar, Dirac and Electromagnetic Fields.
• Electromagnetic Interactions. Minimal Subsitution. Gauge Invariance. Quantum Electrodynamics (QED).
• Time evolution of Quantum Systems. Interaction Picture. S-Matrix. Dyson's Equation. Scattering Processes. Cross Section.
• Wick's Theorem and Feynman rules for QED. Calculation of Electromagnetic Processes: Mott and Rutherford Cross Sections; $e^+ e^- \to \mu^+ \mu^-$; Compton scattering ...