Energy-momentum tensor

24 Abril 2024, 15:30 • Luís Bento

Canonical and symmetrized energy-momentum tensor for the electromagnetic field. Balance equations in the presence of electromagnetic sources.

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Lorentz and Poincaré group conservation laws

24 Abril 2024, 12:00 • Luís Bento

Derivation of the currents associated with Lorentz and Poincaré group symmetries. Spin content of vector and spinor fields. Canonical conserved tensors.

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Conservation laws and currents

17 Abril 2024, 15:30 • Luís Bento

Applications of Nöether theorem and determination of energy-momentum tensor to scalar and spinor electrodynamics Lagrangians. Canonical and gravitational energy-momentum tensor for the electromagnetic field.

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Symmetries and Nöether theorem

17 Abril 2024, 12:00 • Luís Bento

Nöether theorem, internal symmetries and translations. Energy-momentum tensor.

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Variational principle

10 Abril 2024, 15:30 • Luís Bento

Lagrangians and Euler-Lagrangian equations for complex scalar fields, non-relativistic Schrödinger equation and free spinor field. Lagrangian for electromagnetic field interacting with matter fields. Electromagnetic current densities for minimal coupled scalar and spinor fields.

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