Sumários

Dirac equation

10 Março 2025, 14:00 Luís Bento

Exercises about solutions of Dirac equation.


Dirac equation

26 Fevereiro 2025, 16:30 Luís Bento

Construction of the free particle Dirac equation. Properties of the Gamma matrices. Spin matrix.

Solutions of the Dirac equation. Particle and anti-particle spinors, spin eigenstates. Helicity eigenstates.


Klein-Gordon equation

24 Fevereiro 2025, 14:00 Luís Bento

Electromagnetic tensor, Mawell equations.
Free particle Klein-Gordon equation. Vector current conservation. Plane wave solutions and charge and current density.


Eletromagnetic interaction

19 Fevereiro 2025, 16:30 Luís Bento

Non-relativistic Hamiltonian and Schrödinger equation with electromagnetic
interaction. Local gauge invariance, covariant derivatives. Electromagnetic 4-vector potential, field
tensor and Maxwell equations. Charge and vector current densities.


Presentation

17 Fevereiro 2025, 14:00 Luís Bento

Presentation of the program, bibliography and evaluation method.