Variational principle

10 Abril 2024, 12:00 • Luís Bento

Variational principle in field theory. Lagrangian for a real scalar field and the Klein-Gordon equation.

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Spinor magnetic moment

27 Março 2024, 15:30 • Luís Bento

Non-relativistic limit of the Dirac equation with electromagnetic minimal coupling. Orbital and intrinsic magnetic moment. Non-minimal coupling and anomalous magnetic moment.

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Spinor Lorentz transformations

27 Março 2024, 12:00 • Luís Bento

Proof of Dirac equation covariance. Calculation of the internal spinor Lorentz generators. Spin operator. Properties of the transformation matrices. Conjugate and bar spinor transformations. Bilinear scalar, vector and tensor densities.

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Lorentz group transformations of relativistic fields

20 Março 2024, 15:30 • Luís Bento

Transformations of scalar and vector fields. Identification of the Lorentz group generators. Spin operator and eigenvalues of a 4-vector field. Covariance of Dirac equation. Spinor Lorentz group generators.

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Lorentz transformations

20 Março 2024, 12:00 • 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.

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