Sumários

Exercises

11 Março 2022, 11:00 • Luís Bento

Exercises about the Klein-Gordon and Dirac equations.

Lorentz transformations of scalar and vector fields. Covariance of Dirac equation. Generators of Lorentz transformations. Spin operators. Transformation of spinor fields, scalar, vector and tensor densities.

Dirac equation

4 Março 2022, 11:00 • Luís Bento

Particle and anti-particle solutions of the Dirac equation. Spinor normalizations and some properties. Conserved current density. Review of Relativity, O(3,1) and SO(3,1) Lorentz group.

Relativistic quantum mechanics

2 Março 2022, 11:00 • Luís Bento

Commutators of covariant derivatives and field strength. Klein-Gordon equation, solutions and conserved current density. Dirac equation, algebra of gamma matrices, Pauli-Dirac basis. Particle and anti-particle solutions.

Eletromagnetic interaction

25 Fevereiro 2022, 11:00 • Luís Bento

Review of non-relativistic Schrödinger equation with electromagnetic interaction. Local gauge invariance, covariant derivatives. Electromagnetic 4-vector potential, field tensor and Maxwell equations.