Sumários
TP5 - Angular Momentum and Angular Momentum Coupling
17 Outubro 2024, 12:00 • Ana Maria Formigal de Arriaga
Set 2
Angular Momentum
Resolution of problems: problem 9
Set 3
Interaction with magnetic fields
Angular momenta coupling
Resolution of problems: problem 1, first part without spin
T10 - Angular Momentum
17 Outubro 2024, 11:00 • Ana Maria Formigal de Arriaga
Angular Momentum
- Spin discovery and Landé factor of elementary and composite particles
- What is spin?
- Spin operator and algebra
- Direct sum and tensor product of vector spaces
- Definition
- Example
T9 - Angular Momentum
15 Outubro 2024, 11:00 • Ana Maria Formigal de Arriaga
Angular momentum
- Quantification of the orbital angular momentum
- Quantification of the direction of the orbital angular momentum
- Semi-classical and pure quantum pictures
- Particle in one-dimensional box: another example of semi-classical and pura quantum pictures
- Interaction with a magnetic field: magnetic momentum operator and interaction Halmiltonian
T4 - Angular momentum
10 Outubro 2024, 12:00 • Ana Maria Formigal de Arriaga
Resolution of problems from Set 2: 3e) cont. and 5a).
Hints for resolution of some problems of Set 2 , up to problem
9 (not discussed yet)
T8 - Angular Momentum
10 Outubro 2024, 11:00 • Ana Maria Formigal de Arriaga
- Classical definition of orbital angular momentum and quantum transposition
- Orbital angular momentum and the Heisenberg Uncertainty Principle
- Orbital angular momentum and the Heisenberg Uncertainty Principle: quantum precession of the angular momentum
- Conservation of the angular momentum: constants of the movement
- Eigenvelues, eigenvectors and eigenfunctions of the orbital angular momentum