Detailed Programme of the Week 10/02/2023 -- 10/06/2023:

-- Special Relativity

LECT 6 -- Monday 10/02/2023 - 1h Bonciani 15:00-16:00 (Amaldi)

Poincare' Group. Infinitesimal transformations. [Barone, "Relativita'"; Weinberg, "Gravitation and Cosmology"]

LECT 7-8 -- Tuesday 10/03/2023 - 2h Bonciani 8:00-10:00 (Amaldi)

Lagrangian mechanics. Lagrangian and hamiltonian densities. Relativistic fields. Invariance of the action under Poincare' transformations. Other requirements on the lagrangian. Hamilton's Principle. Euler-Lagrange equations. Symmetries and Noether's Theorem. Space-time symmetries and Internal symmetries.

LECT 9-10 -- Friday 10/06/2023 - 2h Bonciani 8:00-10:00 (Amaldi)

Continuity equation. Conserved current. Conservation of the charge.Space-Time symmetries. Invariance under Lorentz transformations.
Energy-momentum Tensor. Angular momentum. Scalar fields and pure inhomogeneous Poincare' transformations, conservation of four-momentum. Proper Lorentz transformations and conservation of the angular momentum.