Sumários
TP14 – Groups and symmetry
19 Dezembro 2024, 12:00 • Ana Maria Formigal de Arriaga
Set 6: Groups and symmetry
- Suggestions for resolution of problems: 6b) and c) and 7.
T29 – Groups and symmetries
19 Dezembro 2024, 11:00 • Ana Maria Formigal de Arriaga
Isospin and flavour symmetries
- symmetries
- isospin and hypercharge observables
Isospin SU(2) group
- generators and group’s algebra
- Casimir operators
- irreducible representations
- tensor product of irreducible representations and its reduction
- rotations group as the SU(2) group
- rotations group as a symmetry group of the Hamiltonian
Flavour SU(3) group
- brief reference to generators, algebra and Casimir operators
- irreducible representations
- isospin SU(2) as a subgroup of flavour SU(3)
- flavour multiplets and isospin multiplets
T28 – Groups and symmetries
17 Dezembro 2024, 11:00 • Ana Maria Formigal de Arriaga
Rotations group
- generators and group’s algebra
- Casimir operators
- irreducible representations
- tensor product of irreducible representations and its reduction
- rotations group as the SU(2) group
- rotations group as a symmetry group of the Hamiltonian
TP13 – Groups and symmetry
12 Dezembro 2024, 12:00 • Ana Maria Formigal de Arriaga
Set 6: Groups and symmetry
Suggestions for resolution of
problems: 1-6a)
T27 – Groups and symmetries
12 Dezembro 2024, 11:00 • Ana Maria Formigal de Arriaga
- Symmetry groups of the Hamiltonian
- definition
- symmetry and laws of conservation
- irreducible and reducible representations in the vector space of the quantum states
- introduction