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