Fisica | ELECTRODYNAMICS AND GRAVITATION
Fisica ELECTRODYNAMICS AND GRAVITATION
ELECTRODYNAMICS AND GRAVITATION
|DIPARTIMENTO DI FISICA "E.R. CAIANIELLO"|
|YEAR OF COURSE 1|
|YEAR OF DIDACTIC SYSTEM 2014|
|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.|
|Geometry, General Physics, Special Relativity, Mathematical Analysis, Lagrangian and Hamiltonian dynamics, Quantum Mechanics.|
|* 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.
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.
|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|
|G. VILASI, Hamiltonian Dynamics, World Scientific (2001)|
L. LANDAU – E. LIFCHITZ, Teoria dei Campi, Editori Riuniti
J. D. JACKSON, Classical Electrodynamics, J. Wiley
BETA VERSION Data source ESSE3 [Ultima Sincronizzazione: 2016-09-30]