Detailed Programme of the Week 10/28/2019 -- 11/01/2019:

-- Canonical Quantization

LECT 20 -- Monday 10/28/2019 - 2h Bonciani 12:00-14:00 (Majorana)

Charge Conjucation. Hole Theory. Quantization of Dirac's field. Energy density and momentum in terms of creation and annihilation operators.

LECT 21 -- Tuesday 10/29/2019 - 2h Bonciani 9:00-11:00 (Conversi)

Anti-commutation relations and positive definite energy density. Fock space, antisymmetric two-particle state and Fermi statistics. Locality and Causality.
Electromagnetic field. Maxwell's equations. Scalar and vector potentials. Gauge invariance.

LECT 22 -- Wednesday 10/30/2019 - 2h Bonciani 10:00-12:00 (Conversi)

Covariant form of Maxwell's equations. Lorents gauge. Electromagnetic tensor and Electric-Magnetic fields equations in covariant form. Larangian density. Counting of the actual degrees of freedom in covariant form (and Coulomb gauge). Canonical Quantization of the field A^mu. Problems arising from the vanishing of the momentum conjugated to A^0. Gauge fixing.

Ricevimento -- Wednesday 30/16/2019 - 12:00-13:00 (uff)

LECT 23 -- Thursday 10/31/2019 - 2h Bonciani 8:00-10:00 (Majorana)

Gupta-Bleuler quantization. Plane wave solutions. Physical states. Temporal, longitudinal and transverse modes. Conditions fulfilled by the physical states. Energy and momentum densities and contribution of the physical states. The Photon.