ELETTRODINAMICA CLASSICA

FIS/01 - 6 CFU - 2° Semester

Teaching Staff

GIUSEPPE RUSSO


Detailed Course Content

Covariant formulation of electromagnetism
Calls on the equations of Maxwell - The laws of conservation: Poynting vector and tensor Maxwell efforts - Helmholtz decomposition theorem - Potential of c.e.m. and gauge transformations - Method of Green's function for the solution of the wave - Potential delayed - Spacetime Minkowski - Maxwell equations in covariant form - Strength Minkowski - four-vector density of force and energy-momentum tensor the CEM- elements of calculus of variations and Lagrangian formulation of relativistic mechanics - Lagrangian and Hamiltonian of a charge in cem External -MOTO relativistic positions in electrical and uniform magnetic fields - Thresholds of inelastic processes (*) - Lagrangian formulation for continuous systems and fields - Lagrangian of the electromagnetic field - the Proca Lagrangian - equations of Maxwell-Proca - some theoretical consequences arising from ' hypothesis of photons with different mass from zero - Typical experiments for estimating the upper limit for the mass of the photon.

Classical theory of radiation
Potential of Liénard and Wiechert - the electromagnetic field generated by a moving charge - Radiation from accelerated charge at low speed - Formula Larmor - Stability hydrogen-like atom - Angular distribution and frequency (*) of the radiation emitted by an accelerated charge - to be charged with accelerating speed collinear radiation - the law of force between two electric charges in motion - Synchrotron radiation - Liénard Formula - Cherenkov radiation - Thomson Spread (*) and the radiation Compton - Compton backscatter - radiation emitted during impacts (*) - bremsstrahlung radiation in Coulomb collisions (*) - radiation Reaction - Mass electromagnetic - Abraham-Lorentz equation for autoforza - Potential Hertz vectors - radiation from an oscillating electric and magnetic dipole.

Fundamentals of the special extended relativity theory
Conventionality of the synchronization method: simultaneous topological and metric simultaneity - Synchronizing Reichenbach (nonstandard) - Transformation of one-dimensional sync - dependence on the direction of the synchronization parameter - Synchronization properties nonstandard - Three-dimensional sync Transformation and its properties - an alternative formulation of extended relativity: general transformations for the space-time coordinates - one-way speed of light - the Lorentz transformations as a special case of the general transformations - Role of two postulates of Einstein in the determination of the parameters - Instability mathematics of special relativity theory - speed round-trip light - relativity weak and equivalent transformations - synchronization Methods of symmetric speeds, slow and absolute transport - mathematical properties of equivalent transformations - conventional aspects of the special theory of relativity and purely relativistic phenomena - experimental tests of extended relativity.

Note: The arguments marked with an asterisk are to be considered optional.



Textbook Information

R. Resnick: Introduction to special relativity "- C.E.A., Milan.


A. Aliotta et al: Fifty years of relativity - Edizioni UTET

V. Barone Relativity - Bollati Basic Books

H. Goldstein: Classical Mechanics - Zanichelli

S. Bobbio, E. Cats: Electromagnetism, Optics - Basic Books Bollati

L. Lovitch, S. Rosati: General Physics: Electricity, Magnetism, Electromagnetism,

Special Relativity, Optics, Quantum Mechanics - C.E.A.

J.D. Jackson: Classical Electrodynamics - Zanichelli

W. Grainer: Classical Electrodynamics - Springer

L. Landau: classical field theory - Ed. Riuniti

L. Landau: electrodynamics of continuous media - Ed. Riuniti

H. Reichenbach: axiomatization of the theory of relativity, University of

California Press 1969

H. Reichenbach: The philosophy of space and time, Dover publications, Inc.

The student is free to choose any other text at the university level.




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