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Detailed Programme of the Week 10/10/2022 -- 10/14/2022:
-- Hamilton's Principle. Noether's theorem
LECT 12-13 -- Tuesday 10/11/2022 - 2h
Bonciani 14:00-16:00 (Conversi)
Hamilton's
Principle.
Euler-Lagrange
equations.
Symmetries and
Noether's
Theorem.
Space-time
symmetries and
Internal
symmetries.
LECT 14-15 -- Thursday 10/13/2022 - 2h Bonciani
14:00-16:00 (Conversi)
Continuity
equation.
Conserved
current.
Conservation
of the charge.Space-Time
symmetries.
Invariance
under Lorentz
transformations.
Energy-momentum
Tensor.
Angular
momentum.
Scalar fields
and pure
inhomogeneous
Poincare'
transformations,
conservation
of
four-momentum.
Proper Lorentz
transformations
and
conservation
of the angular
momentum.
Lie
groups and
representations.
LECT 16 -- Friday 10/14/2022
- 1h Bonciani 8:00-9:00
(Conversi)
Proper
Lorentz
transformations
and
conservation
of the angular
momentum.
Introduction
to groups.
[Maggiore]
[Wu-Ki Tung,
"Group Theory
in Physics",
chap.2]