CFU

6

Length

14 Weeks

Semester DD

Second

Principle of Relativity. Lorentz transformations. Cone of light. Quadri-carriers. Lorentz group. Generators and switching rules.

Relativistic mechanics. Kinematics. Quad-speed, four-pulse. Relativistic mass. Composition of speeds. Relativistic dynamics. Quadri-force. Angular momentum. Vector of Pauli-Lubanski.

Charge in an electromagnetic field. Lorentz force. Quadri-potential. Electro-magnetic field tensor. Gauge invariance. Motion in constant electric and magnetic fields.

Maxwell equations in covariant form. Lorentz transformations of the electro-magnetic field. Relativistic invariants. Quadri-current. Local and global conservation of the office.

Electro-magnetic duality, magnetic monopoles. Lagrangian for particles and for the electro-magnetic field. Minimal coupling. Energy-pulse tensor. Relativistic virial theorem.

Electro-static field. Expansion in many-poles. Laplacian in orthogonal curvilinear coordinates. Motorbike in a Coulomb field. Magneto-static field. Giromagnetic factor. Precession of Larmour.

Field generated by a moving charge. Linard-Wiechert potentials

Equation of electromagnetic waves. Mono-chromatic plane waves. Spectral decomposition. Polarization. Intensity. Own oscillations normal ways. Propagation of light. Geometric optics. Iconale. Diffraction.

Electromagnetic radiation. Dipole radiation. Braking radiation. Synchrotron radiation. Diffusion of light.

Magneto-hydrodynamic equations. Diffusion, viscosity and magnetic pressure. Flows. Plasmas: oscillations and instability. Magneto-hydrodynamic waves.

LEARNING OUTCOMES:

The teaching consists of lectures

KNOWLEDGE AND UNDERSTANDING:

Students must gain knowledge of the laws of classical electrodynamics and their links with relativistic mechanics.

ABILITY TO APPLY KNOWLEDGE AND UNDERSTANDING:

Students must be familiar with the laws of electrodynamics classics and special relativity and be able to apply them in the representation and modeling of physical phenomena governed by them.

They must be able to identify the essential elements of physical problems related to phenomena and simple processes in classical electrodynamics and know how to model them, making the necessary approximations.

AUTONOMY OF JUDGMENT:

Students must be able to critically analyze the problems related to classical electrodynamics and to consult the proposed texts and the literature also available online.

COMMUNICATION SKILLS:

They must be able to present the knowledge acquired with mastery and clarity.

LEARNING SKILLS:

They must have acquired an understanding of the laws of electrodynamics and how they are applicable to many fields, even different from the course context, so as to be able to tackle new problems through independent study.