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Detailed Programme of the Week 12/12/2022 -- 12/16/2022:
-- Interactions
LECT 52-53 -- Tuesday 12/13/2022 - 2h
Bonciani 14:00-16:00 (Aula7)
Canonical
Quantization
of the field
A^mu.
Gauge fixing.
Gupta-Bleuler
quantization.
Plane wave
solutions.
Physical
states.
Temporal,
longitudinal
and transverse
modes.
[Maggiore]
LECT 54 -- Wednesday 12/14/202 - 1h Bonciani
16:00-17:00 (Aula4)
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.
[Maggiore]
LECT 55-56 -- Thursday 12/15/202 - 2h
Bonciani 10:00-12:00
(Aula1, CUO28-E01PTEL002)
Non-homogeneous
differential
equations and
Green's
function. The
case of the
scalar field.
Fourier
transform and
integration in
C. Closed
paths. Open
paths.
Retarded and
Advanced
Green's
functions. The
Feynman
propagator for
the scalar
field.
[Maiani-Benhar]
LECT 57-58 -- Thursday 12/15/202 - 2h
Bonciani 14:00-16:00
(Aula7)
Covariant form
of the
propagator.
Propagator as
the vacuum
expectation
value of
T-ordered
product of two
fields.
Feynman's
propagator for
the spinor
field and for
the
electromagnetic
field.
Electromagnetic
interaction.
Interacting
Lagrangian
density.
Derivative and
non-derivative
interactions.
LECT
59 -- Friday 12/16/2022 - 1h Bonciani
8:00-9:00 (Aula7)
Scattering
matrix. Interaction
representation. Time-dependent
perturbation theory and Dyson's
formula. Unitarity and Lorentz
invariance of the scattering
matrix. Properties of the
time-ordered exponential. Wick's
theorem. Time
ordered product of 2, 3, 4 fields.
Bosonic and fermionic fields.
[Mandl-Shaw] [Itzykson-Zuber]