Sumários
Dirac equation
9 Março 2022, 11:00 • Luís Bento
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.