Detailed Programme of the Week 09/30/2019 -- 10/4/2019:

-- Classical Fields

LECT 5 -- Monday 09/30/2019 - 2h Bonciani 12:00-14:00 (Careri)

Lorentz transformations form a Group. Infinitesimal transformations. Structure of the group. Poincare' Group.

LECT 6 -- Tuesday 10/01/2019 - 2h Bonciani 8:00-10:00 (Conversi)

Lagrangian and Hamiltonian mechanics. The free particle. Least Action Principle. Lagrangian and Relativity. Relativistic free particle. Euler-Lagrange equations. Conservation laws. Lagrangian invariant under Poincare' transformation and conservation of the four-momentum and angular momentum. Fields. Lagrangian density. Least Action Principle in the case of fields and Euler-Lagrange Equations.

LECT -- Wednesday 10/02/2019 - Postponed

LECT 7 -- Thursday 10/03/2019 - 2h Bonciani 8:00-10:00 (Conversi)

Symmetries and Noether's Theorem. Space-time symmetries and Internal symmetries. Continuity equation. Conserved current. Conservation of the charge.