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Detailed Programme of the Week 10/17/2022 -- 10/21/2022:
-- Group theory (basics)
LECT 17-18 -- Tuesday 10/18/2022 - 2h
Bonciani 14:00-16:00 (Aula7)
Lie
groups and
representations.
The
Lie Algebra of
the group.
Generators. Casimirs.
Example:
SO(2). [Wu-Ki
Tung, "Group
Theory in
Physics",
chap.3,
chap.6]
LECT 19-20 -- Thursday 10/20/2022 - 2h
Bonciani 14:00-16:00 (Aula7)
Poincare'
algebra.
Finite
dimensional
irriducible
representations
of the
Poincare'
group.
SU(2)xSU(2)
and
(1/2,0)+(0,1/2).
Scalar
field.
Tensorial
representations,
vector
representations
and form of
the generators
in this
representation.
SO(3,1). [Maggiore,
chap.2] [Weinberg, chap.2.2, chap.2.3, chap.2.4]
LECT 21 -- Friday 10/21/2022 - 1h
Bonciani 8:00-9:00 (Aula7)
Rotations,
SO(3) and
SU(2),
spinors, Pauli
matrices,
boosts in the
2-dimensional
representation.
L- and
R-spinors.
Parity and
Dirac spinors.
[Maggiore,
chap.2]