Fisica | ELECTRODYNAMICS AND GRAVITATION

cod. 0522600004

ELECTRODYNAMICS AND GRAVITATION

	0522600004
	DIPARTIMENTO DI FISICA "E.R. CAIANIELLO"

	PHYSICS
	2013/2014

PERCORSO COMUNE

	OBBLIGATORIO
	YEAR OF COURSE 1
	YEAR OF DIDACTIC SYSTEM 2010
	PRIMO SEMESTRE

TEACHING UNITS

	SSD	CFU	HOURS	ACTIVITY	TYPE OF ACTIVITY
	FIS/02	6	48	LESSONS	COMPULSORY SUBJECTS, CHARACTERISTIC OF THE CLASS

	Objectives
	* KNOWLEDGE AND UNDERSTANDING STUDENTS ARE INTRODUCED TO THE FOUNDATIONS OF ELECTRODYNAMICS (ELECTROMAGNETISM IN ITS FULL RELATIVISTIC FORMULATION) AND TO FIRST ELEMENTS OF RELATIVISTIC GRAVITATION, EMPHASIZING DIFFERENCES, SIMILARITIES AND APPLICATIONS. * ABILITY TO APPLY KNOWLEDGE AND UNDERSTANDING. OBJECTIVE OF THE COURSE IS TO MAKE THE STUDENT ABLE TO SOLVE SIMPLE PROBLEMS (OFTEN ASSIGNED TO THEM AS HOMEWORKS) * JUDGEMENT STUDENTS ARE CONSTANTLY ENCOURAGED TO STUDY WITH CRITICISMS, TO ASK QUESTIONS, TO FIND SOLUTIONS TO PROPOSED PROBLEMS, TO FIND FORMULATIONS ALTERNATIVE TO THOSE PROPOSED BY THE TEACHER. * COMMUNICATION SKILLS THE COURSE WILL IMPROVE THE STUDENT ABILITY FOR CLEAR FORMULATIONS OF LEARNED SUBJECTS. AT THE END OF THE COURSE THE STUDENT MUST BE ABLE TO THINK, TO FORMULATE THEORIES AND TO SOLVE PROBLEMS DIRECTLY IN A 4-DIMENSIONAL SETTING

* KNOWLEDGE AND UNDERSTANDING
STUDENTS ARE INTRODUCED TO THE FOUNDATIONS OF
ELECTRODYNAMICS (ELECTROMAGNETISM IN ITS FULL RELATIVISTIC FORMULATION) AND TO FIRST ELEMENTS OF RELATIVISTIC GRAVITATION, EMPHASIZING DIFFERENCES, SIMILARITIES AND APPLICATIONS.

* ABILITY TO APPLY KNOWLEDGE AND UNDERSTANDING.
OBJECTIVE OF THE COURSE IS TO MAKE THE STUDENT ABLE TO SOLVE SIMPLE PROBLEMS (OFTEN ASSIGNED TO THEM AS HOMEWORKS)

* JUDGEMENT
STUDENTS ARE CONSTANTLY ENCOURAGED TO STUDY WITH CRITICISMS, TO ASK QUESTIONS, TO FIND SOLUTIONS TO PROPOSED PROBLEMS, TO FIND FORMULATIONS ALTERNATIVE TO THOSE PROPOSED BY THE TEACHER.

* COMMUNICATION SKILLS
THE COURSE WILL IMPROVE THE STUDENT ABILITY FOR CLEAR FORMULATIONS OF LEARNED SUBJECTS. AT THE END OF THE COURSE THE STUDENT MUST BE ABLE TO THINK, TO FORMULATE THEORIES AND TO SOLVE PROBLEMS DIRECTLY IN A 4-DIMENSIONAL SETTING

	Prerequisites
	GEOMETRY, DYNAMICS, ELECTROMAGNETISM, OPTICS, DIFFERENTIAL CLACULUS, LAGRANGIAN AND HAMILTONIAN DYNAMICS, QUANTUM MECHANICS

	Contents
	* A FIRST INTRODUCTION TO THE ELECTRODYNAMICS. MAXWELL'S EQUATIONS IN INTEGRAL FORM AND 3-DIMENSIONAL IDENTIFICATION OF ELECTRIC AND MAGNETIC FIELDS. DIFFERENTIAL FORMS AND 4-DIMENSIONAL GEOMETRICAL IDENTIFICATION OF ELECTROMAGNETIC FIELD. * A FIRST INTRODUCTION TO GRAVITATION: INERTIAL AND GRAVITATIONAL MASS, EOTVOS EXPERIMENT, THE GALILEI-EINSTEIN EQUIVALENCE PRINCIPLE, GEODESIC EQUATIONS AND THEIR NEWTONIAN LIMIT. THE TIME IN A GRAVITATIONAL FIELD AND THE SATELLITE NAVIGATION SYSTEMS. CLASSIC MITCHELL-LAPLACE BLACK HOLES. MERCURY PERIHELION PRECESSION (FINAL RESULT ONLY). THE DEFLECTION OF LIGHT IN A GRAVITATIONAL FIELD (ONLY FINAL RESULT). WEAK GRAVITATIONAL FIELDS AND THE ANALOGY WITH ELECTRODYNAMICS (GRAVITODINAMICS). * ELECTRODYNAMICS. CONSTITUTIVE EQUATIONS AND HODGE DUALITY. THE HOMOGENEOUS WAVE EQUATION IN 1 +1 AND IN 3 +1 DIMENSIONS. SIMPLE SOLUTIONS OF MAXWELL'S EQUATIONS AND FOURIER EXPANSION IN MONOCHROMATIC WAVES. POLARIZATION AND WAVEFORM. THE POINCARÉ GROUP. INVARIANTS OF THE ELECTROMAGNETIC FIELD. RADIATION FIELD OF A MOVING CHARGED PARTICLE AND ITS PROPERTIES. LIENARD-WIECHERT POTENTIAL . DYNAMICS OF WAVE PACKETS. LAGRANGIAN AND HAMILTONIAN FUNCTIONS OF ELECTROMAGNETIC FIELD AND THE ENERGY-MOMENTUM TENSOR. GAUGE TRANSFORMATIONS. GREEN FORMULAS. ELECTROMAGNETIC RADIATION AND ANTENNA.

Contents

* A FIRST INTRODUCTION TO THE ELECTRODYNAMICS.
MAXWELL'S EQUATIONS IN INTEGRAL FORM AND 3-DIMENSIONAL IDENTIFICATION OF ELECTRIC AND MAGNETIC FIELDS.
DIFFERENTIAL FORMS AND 4-DIMENSIONAL GEOMETRICAL IDENTIFICATION OF ELECTROMAGNETIC FIELD.

* A FIRST INTRODUCTION TO GRAVITATION:
INERTIAL AND GRAVITATIONAL MASS,
EOTVOS EXPERIMENT,
THE GALILEI-EINSTEIN EQUIVALENCE PRINCIPLE,
GEODESIC EQUATIONS AND THEIR NEWTONIAN LIMIT.
THE TIME IN A GRAVITATIONAL FIELD AND THE SATELLITE NAVIGATION SYSTEMS.
CLASSIC MITCHELL-LAPLACE BLACK HOLES.
MERCURY PERIHELION PRECESSION (FINAL RESULT ONLY).
THE DEFLECTION OF LIGHT IN A GRAVITATIONAL FIELD (ONLY FINAL RESULT).
WEAK GRAVITATIONAL FIELDS AND THE ANALOGY WITH ELECTRODYNAMICS (GRAVITODINAMICS).

* ELECTRODYNAMICS.
CONSTITUTIVE EQUATIONS AND HODGE DUALITY.
THE HOMOGENEOUS WAVE EQUATION IN 1 +1 AND IN 3 +1 DIMENSIONS.
SIMPLE SOLUTIONS OF MAXWELL'S EQUATIONS AND FOURIER EXPANSION IN MONOCHROMATIC WAVES.
POLARIZATION AND WAVEFORM.
THE POINCARÉ GROUP.
INVARIANTS OF THE ELECTROMAGNETIC FIELD.
RADIATION FIELD OF A MOVING CHARGED PARTICLE AND ITS PROPERTIES.
LIENARD-WIECHERT POTENTIAL .
DYNAMICS OF WAVE PACKETS.
LAGRANGIAN AND HAMILTONIAN FUNCTIONS OF ELECTROMAGNETIC FIELD AND THE ENERGY-MOMENTUM TENSOR.
GAUGE TRANSFORMATIONS.
GREEN FORMULAS.
ELECTROMAGNETIC RADIATION AND ANTENNA.

	Teaching Methods
	THE COURSE CONSISTS OF LECTURES, ENSURING IN PARTICULAR METHODS, PROOFS AND EXERCISES.

	Verification of learning
	ORAL EXAMINATION CONSISTING OF A GENERAL INTERVIEW OR IN THE PREPARATION OF A SHORT THESIS ON A TOPIC (NOT EXPLICITLY TREATED IN CLASS) AND ITS SUBSEQUENT DISCUSSION.

	Texts
	G. VILASI, HAMILTONIAN DYNAMICS, WORLD SCIENTIFIC (2001) L.LANDAU & E.LIFCHITZ, THE CLASSICAL THEORY OF FIELDS, PERGAMON PRESS, 2003 J.D.JACKSON, CLASSICAL ELECTRODYNAMICS, J. WILEY & SONS 1998

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