Sumários
Spinor Lorentz transformations. Electrodynamics and electron magnetic moment
19 Março 2025, 16:30 • Luís Bento
Verification of Dirac equation covariance. Spinor Lorentz group generators and spin operator.
Properties of the transformation matrices. Conjugate and bar spinor transformations. Bilinear scalar, pseudo-scalar
vector, axial-vector and tensor densities.
Non-relativistic limit of the Dirac equation with electromagnetic minimal coupling. Orbital and intrinsic
magnetic moment, prediction of g=2.
Dirac spinors
17 Março 2025, 14:00 • Luís Bento
Exercises about solutions of Dirac equation. Gamma 5 matrix and chiral fields
Lorentz group and field transformations
12 Março 2025, 16:30 • Luís Bento
Relativisitic coordinate transformations. O(3,1) and proper Lorentz group SO(3,1). Exponential form of
Lorentz transformations. Covariance of Klein-Gordon equation.
Transformations of scalar and vector fields. Identification of the Lorentz group generators and spin operators of a 4-vector field. Covariance 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.