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Detailed Programme of the Week 10/03/2022 -- 10/07/2022:
-- Quantization of the String and recap Special Relativity
LECT 7-8 -- Tuesday 10/04/2022 - 2h
Bonciani 14:00-16:00 (Conversi)
Creation-annihilation operators. Their dependence on
time. Expression of the field in terms of
creation-annihilation operators. The Fock space. Commutation
relations in the continuum (among fields). Bosonic character
of the quanta of the string. Infinite vacuum energy and
normal ordering. [Henley-Thirring]
Principles of Relativity. Events. Time-, space- and
light-like intervals. Causal structure of the space-time.
Lorentz transformations (boosts and rotations). Limit
of small velocity and the recovery of Galilean
transformations. [Barone, "Relativita'"; Weinberg,
"Gravitation and Cosmology"]
LECT
9-10 -- Thursday 10/06/2022 - 2h
Bonciani 14:00-16:00 (Conversi)
Minkowski
space.Contravariant
and covariant
four-vectors. Lorentz
transformations
form a Group.
Structure of
the group.
Poincare'
group.
Infinitesimal
transformations.
[Barone,
"Relativita'"; Weinberg,
"Gravitation and Cosmology"]
LECT 11 -- Friday 10/08/2021 - 2h
Bonciani 8:00-9:00 (Conversi)
Lagrangian
mechanics.
Lagrangian and
hamiltonian
densities.
Least action
principle and
the vibrating
string.
Relativistic
fields.
Invariance of
the action
under
Poincare'
transformations.
Other
requirements
on the
lagrangian.