# Fisica | ELECTRODYNAMICS AND GRAVITATION

## Fisica ELECTRODYNAMICS AND GRAVITATION

 0522600004 DIPARTIMENTO DI FISICA "E.R. CAIANIELLO" PHYSICS 2014/2015

 OBBLIGATORIO YEAR OF COURSE 1 YEAR OF DIDACTIC SYSTEM 2014 PRIMO SEMESTRE
SSD CFU HOURS ACTIVITY TYPE OF ACTIVITY FIS/02 5 40 LESSONS COMPULSORY SUBJECTS, CHARACTERISTIC OF THE CLASS FIS/02 1 12 EXERCISES COMPULSORY SUBJECTS, CHARACTERISTIC OF THE CLASS
 GAETANO VILASI T
Objectives
The course aims to introduce students to the fundamentals of electrodynamics (electromagnetism in its fully relativistic formulation) and to the first elements of relativistic gravitation, emphasizing differences, similarities and applications.
Prerequisites
Geometry, General Physics, Special Relativity, Mathematical Analysis, Lagrangian and Hamiltonian dynamics, Quantum Mechanics.
Contents
* Introduction to electrodynamics:
Maxwell's equations in integral form and identification of geometric 3-dimensional electric field and magnetic fields. Differential forms and geometric identification of the 4-dimensional electro-magnetic field.
* Introduction to Gravitation:
Inertial and gravitational mass, the experiment of Eotvos, The Galileo-Einstein Equivalence Principle. The equations of geodesics and their Newtonian limit. The time in a gravitational field and satellite navigation systems. Mitchell-Laplace Black Holes. The precession of the Mercury perihelion, the deflection of light in a gravitational field.
Weak gravitational fields and analogy with electrodynamics.
* Electrodynamics.
Constitutive equations and the Hodge duality. The wave equations are homogeneous in 1 + 1 and on 3 + 1 dimensions. Simple solutions of Maxwell's equations and Fourier expansion in monochromatic waves. Polarization and waveforms. The Poincaré group. Invariants of the electromagnetic field. Radiation field of a charged particle in motion and its properties. Lienard-Wiechert potentials. Dynamics of wave packets. Lagrangian and Hamiltonian of the electromagnetic field and the energy momentum tensor. Gauge transformations. Green formulae. Electromagnetic radiation and antennas.
Teaching Methods
Direct Lectures and guidance to the compilation of a small thesis on a topic related with the contents of the course.
Lecture notes provided by the teacher.
Verification of learning
Oral examination
Texts
G. VILASI, Hamiltonian Dynamics, World Scientific (2001)
L. LANDAU – E. LIFCHITZ, Teoria dei Campi, Editori Riuniti
J. D. JACKSON, Classical Electrodynamics, J. Wiley