Obiettivi formativi
A rigorous insight in fundamental laws of electrodynamics.
Prerequisiti
A general course in physics including Newtonian mechanics and Electromagnetism.
Contenuti dell'insegnamento
Maxwell Equations in Vacuum, fields and sources.<br />
Boundary conditions at interface between different media.<br />
Vector and scalar potentials. Gauge transformations, Lorentz and Coulomb Gauge.<br />
Green's functions for the wave function.<br />
Poynting's theorem and conservation of electromagnetic energy.<strong><br />
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Relativity.<br />
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The situation before 1900. Einstein's two postulates.<br />
Spacetime diagrams. Invariance of the interval.<br />
Lorentz's transformations, standard and without rotations.<br />
Momentum and energy in relativity. Introduction of the four-vectors.<br />
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<strong>Radiating systems.<br />
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</strong>Multipole expansion of the retarded potentials. <br />
Electric dipole radiation. Magnetic dipole radiation.<br />
Electrical quadrupole radiation.<br />
Radfiation from a linear antenna.<br />
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<strong>Covariant formulation of electrodynamics</strong>.<br />
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Introduction to tensors from a modern point of view. Faraday's tensor<br />
Lorentz transformation of electromagnetic fields.<br />
Covariant Lagrangian formulation of the motion of a charged particle in an external electromagnetic field.<br />
Lagrangian for the electromagnetic field.<br />
Noether's theorem and conservation laws. <br />
Canonical and symmetrical energy-momentum tensors.<br />
Invariant Green's function and solutions of the wave equation in covariant form.<br />
Radiation from an accelerated charge in relativistic motion.<br />
Synchrotron radiation. <br />
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Programma esteso
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Bibliografia
Classical Elwctrodynamics, J.D. Jackson.
Metodi didattici
At the end of course the teacher will evaluate the comprehension of the exposed material by means of a thorough oral exam.
Modalità verifica apprendimento
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Altre informazioni
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