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Detailed Programme of the Week 10/30/2023 -- 11/3/2023:
-- Dirac Field
LECT 26 -- Monday 10/30/2023 - 1h
Bonciani 15:00-16:00
(Amaldi)
Unitarity
in gamma_0
metric and
Dirac adjoint.
LECT 27-28 -- Tuesday 10/31/2023 - 2h
Bonciani 8:00-10:00
(Amaldi)
Probability
density. Adjoint
equation.
How a spinor
transforms
under a boost.
Lagrangian
density and
conjugated
momenta.
Energy
momentum
tensor.
Energy
density. Angular
Momentum.
Spin. Internal
transformations
and invariance
of Dirac's
equation under
U(1) global
phase
transformations.
Charge.
LECT 29-30 -- Friday 11/3/2023 - 2h
Bonciani 8:00-10:00 (Amaldi)
gamma_5.
Bilinear
covariants and
their
behaviour
under Lorentz
transformations.
Algebra
of gamma
matrices.
Traces of
gamma
matrices.
Plane
wave solutions
of Dirac's
equation. Spinors.
Negative
energy
solutions.