Detailed Programme of the Week 09/27/2021 -- 10/01/2021:

-- Special Relativity

LECT 4-5 -- Tuesday 09/28/2021 - 2h Bonciani 14:00-16:00 (Conversi) meet.google.com/szf-gndu-pwc

Lorentz transformations: general case. Limit of small velocity and the recovery of Galilean transformations. Transformation of the 3-velocity under Lorentz transformations and the relativistic composition of velocities.
Boosts and the tensorial relation that defines a boost. Lorentz transformations form a Group. Structure of the group. Poincare' Group. Infinitesimal transformations.

LECT 6-7 -- Thursday 09/30/2021 - 2h Bonciani 14:00-16:00 (Conversi) meet.google.com/szf-gndu-pwc

Vectors. Contravariant and covariant components. Transformation of contravariant and covariant components of a vector under a basis change. Scalar product. Metric tensor and its transformation under a basis change. Tensors and properties. Necessity to express Physics in terms of tensorial relations. Minkowski space $M^4$ . $\eta_{\mu \nu}$ metric tensor. Contravariant and covariant vectors in $M^4$ .

LECT 8 -- Friday 10/01/2020 - 1h Bonciani 8:00-9:00 (Majorana) meet.google.com/rkn-mafj-mra

Dynamics of a classical free particle and covariant quantities. Four-velocity and proper time, four-acceleration. Four-momentum. Lagrangian and Hamiltonian. Mass-shell relation. Lagrangian and Hamiltonian mechanics. The free particle.