Programme

Special Relativity and Electromagnetism.
Lorentz transformations, Minkowski plane, Poincar`e and Lorentz groups. Covariant and controvariant vectors, tensors, transformation law of fields. Relativistic Dynamics: four-velocity, four-momentum, Minkowski force. Covariant formulation of Electromagnetism:
transformation properties of the electric and magnetic fields, electromagnetic field tensor,covariant formulation of the Maxwell equations, four-potential, gauge invariance. Conservation laws: Maxwell stress tensor, energy-momentum tensor, conservation of energy,momentum and angular momentum. Solution of the Maxwell equations for the fourpotential in the vacuum in the Lorentz gauge. Plane waves, radiation pressure. Lienard e Wiechert potentials. Radiated power. Thomson cross section. Compton effect. Cerenkov effect.
Quantum Field Theory
Quantization of the electromagnetic field in the radiation gauge. Lagrangian field theory, symmetry and conservation laws, Noether theorem. Field quantization. Klein-Gordon equation, Lagrangian for a scalar field, quantization. Dirac equation, non-relativistic limit.
Solutions of Dirac equation. Lagrangian for a Dirac field, quantization. Electromagnetic field, covariant quantization. Interaction picture. S-matrix and its expansion. Wick theorem. Commutators and propagators for bosonic and fermionic fields. Feynman diagrams and rules in QED. Tree-level processes:e+e→μ+μ, scattering by an external field

Core Documentation

V. Barone: Relativit`a, Bollati Boringhieri.
F. Mandl, G. Shaw: Quantum Field Theory, John Wiley & Sons.

Programme

Special Relativity and Electromagnetism.
Lorentz transformations, Minkowski plane, Poincar`e and Lorentz groups. Covariant and controvariant vectors, tensors, transformation law of fields. Relativistic Dynamics: four-velocity, four-momentum, Minkowski force. Covariant formulation of Electromagnetism:
transformation properties of the electric and magnetic fields, electromagnetic field tensor,covariant formulation of the Maxwell equations, four-potential, gauge invariance. Conservation laws: Maxwell stress tensor, energy-momentum tensor, conservation of energy,momentum and angular momentum. Solution of the Maxwell equations for the fourpotential in the vacuum in the Lorentz gauge. Plane waves, radiation pressure. Lienard e Wiechert potentials. Radiated power. Thomson cross section. Compton effect. Cerenkov effect.
Quantum Field Theory
Quantization of the electromagnetic field in the radiation gauge. Lagrangian field theory, symmetry and conservation laws, Noether theorem. Field quantization. Klein-Gordon equation, Lagrangian for a scalar field, quantization. Dirac equation, non-relativistic limit.
Solutions of Dirac equation. Lagrangian for a Dirac field, quantization. Electromagnetic field, covariant quantization. Interaction picture. S-matrix and its expansion. Wick theorem. Commutators and propagators for bosonic and fermionic fields. Feynman diagrams and rules in QED. Tree-level processes:e+e→μ+μ, scattering by an external field

Core Documentation

V. Barone: Relativit`a, Bollati Boringhieri.
F. Mandl, G. Shaw: Quantum Field Theory, John Wiley & Sons.

Programme

Special Relativity and Electromagnetism.
Lorentz transformations, Minkowski plane, Poincar`e and Lorentz groups. Covariant and controvariant vectors, tensors, transformation law of fields. Relativistic Dynamics: four-velocity, four-momentum, Minkowski force. Covariant formulation of Electromagnetism:
transformation properties of the electric and magnetic fields, electromagnetic field tensor,covariant formulation of the Maxwell equations, four-potential, gauge invariance. Conservation laws: Maxwell stress tensor, energy-momentum tensor, conservation of energy,momentum and angular momentum. Solution of the Maxwell equations for the fourpotential in the vacuum in the Lorentz gauge. Plane waves, radiation pressure. Lienard e Wiechert potentials. Radiated power. Thomson cross section. Compton effect. Cerenkov effect.
Quantum Field Theory
Quantization of the electromagnetic field in the radiation gauge. Lagrangian field theory, symmetry and conservation laws, Noether theorem. Field quantization. Klein-Gordon equation, Lagrangian for a scalar field, quantization. Dirac equation, non-relativistic limit.
Solutions of Dirac equation. Lagrangian for a Dirac field, quantization. Electromagnetic field, covariant quantization. Interaction picture. S-matrix and its expansion. Wick theorem. Commutators and propagators for bosonic and fermionic fields. Feynman diagrams and rules in QED. Tree-level processes:e+e→μ+μ, scattering by an external field

Core Documentation

V. Barone: Relativit`a, Bollati Boringhieri.
F. Mandl, G. Shaw: Quantum Field Theory, John Wiley & Sons.

Programme

Special Relativity and Electromagnetism.
Lorentz transformations, Minkowski plane, Poincar`e and Lorentz groups. Covariant and controvariant vectors, tensors, transformation law of fields. Relativistic Dynamics: four-velocity, four-momentum, Minkowski force. Covariant formulation of Electromagnetism:
transformation properties of the electric and magnetic fields, electromagnetic field tensor,covariant formulation of the Maxwell equations, four-potential, gauge invariance. Conservation laws: Maxwell stress tensor, energy-momentum tensor, conservation of energy,momentum and angular momentum. Solution of the Maxwell equations for the fourpotential in the vacuum in the Lorentz gauge. Plane waves, radiation pressure. Lienard e Wiechert potentials. Radiated power. Thomson cross section. Compton effect. Cerenkov effect.
Quantum Field Theory
Quantization of the electromagnetic field in the radiation gauge. Lagrangian field theory, symmetry and conservation laws, Noether theorem. Field quantization. Klein-Gordon equation, Lagrangian for a scalar field, quantization. Dirac equation, non-relativistic limit.
Solutions of Dirac equation. Lagrangian for a Dirac field, quantization. Electromagnetic field, covariant quantization. Interaction picture. S-matrix and its expansion. Wick theorem. Commutators and propagators for bosonic and fermionic fields. Feynman diagrams and rules in QED. Tree-level processes:e+e→μ+μ, scattering by an external field

Core Documentation

V. Barone: Relativit`a, Bollati Boringhieri.
F. Mandl, G. Shaw: Quantum Field Theory, John Wiley & Sons.

Programme

Special Relativity and Electromagnetism.
Lorentz transformations, Minkowski plane, Poincar`e and Lorentz groups. Covariant and controvariant vectors, tensors, transformation law of fields. Relativistic Dynamics: four-velocity, four-momentum, Minkowski force. Covariant formulation of Electromagnetism:
transformation properties of the electric and magnetic fields, electromagnetic field tensor,covariant formulation of the Maxwell equations, four-potential, gauge invariance. Conservation laws: Maxwell stress tensor, energy-momentum tensor, conservation of energy,momentum and angular momentum. Solution of the Maxwell equations for the fourpotential in the vacuum in the Lorentz gauge. Plane waves, radiation pressure. Lienard e Wiechert potentials. Radiated power. Thomson cross section. Compton effect. Cerenkov effect.
Quantum Field Theory
Quantization of the electromagnetic field in the radiation gauge. Lagrangian field theory, symmetry and conservation laws, Noether theorem. Field quantization. Klein-Gordon equation, Lagrangian for a scalar field, quantization. Dirac equation, non-relativistic limit.
Solutions of Dirac equation. Lagrangian for a Dirac field, quantization. Electromagnetic field, covariant quantization. Interaction picture. S-matrix and its expansion. Wick theorem. Commutators and propagators for bosonic and fermionic fields. Feynman diagrams and rules in QED. Tree-level processes:e+e→μ+μ, scattering by an external field

Core Documentation

V. Barone: Relativit`a, Bollati Boringhieri.
F. Mandl, G. Shaw: Quantum Field Theory, John Wiley & Sons.

Programme

Special Relativity and Electromagnetism.
Lorentz transformations, Minkowski plane, Poincar`e and Lorentz groups. Covariant and controvariant vectors, tensors, transformation law of fields. Relativistic Dynamics: four-velocity, four-momentum, Minkowski force. Covariant formulation of Electromagnetism:
transformation properties of the electric and magnetic fields, electromagnetic field tensor,covariant formulation of the Maxwell equations, four-potential, gauge invariance. Conservation laws: Maxwell stress tensor, energy-momentum tensor, conservation of energy,momentum and angular momentum. Solution of the Maxwell equations for the fourpotential in the vacuum in the Lorentz gauge. Plane waves, radiation pressure. Lienard e Wiechert potentials. Radiated power. Thomson cross section. Compton effect. Cerenkov effect.
Quantum Field Theory
Quantization of the electromagnetic field in the radiation gauge. Lagrangian field theory, symmetry and conservation laws, Noether theorem. Field quantization. Klein-Gordon equation, Lagrangian for a scalar field, quantization. Dirac equation, non-relativistic limit.
Solutions of Dirac equation. Lagrangian for a Dirac field, quantization. Electromagnetic field, covariant quantization. Interaction picture. S-matrix and its expansion. Wick theorem. Commutators and propagators for bosonic and fermionic fields. Feynman diagrams and rules in QED. Tree-level processes:e+e→μ+μ, scattering by an external field

Core Documentation

V. Barone: Relativit`a, Bollati Boringhieri.
F. Mandl, G. Shaw: Quantum Field Theory, John Wiley & Sons.