Fisica | ELECTRODYNAMICS AND GRAVITATION

cod. 0522600004

ELECTRODYNAMICS AND GRAVITATION

	0522600004
	DIPARTIMENTO DI FISICA "E.R. CAIANIELLO"
	EQF7
	PHYSICS
	2017/2018

PERCORSO COMUNE

	YEAR OF COURSE 1
	YEAR OF DIDACTIC SYSTEM 2017
	PRIMO SEMESTRE

TEACHING UNITS

	SSD	CFU	HOURS	ACTIVITY	TYPE OF ACTIVITY
	FIS/02	6	48	LESSONS	SUPPLEMENTARY COMPULSORY SUBJECTS

PROFESSORS

	GAETANO LAMBIASE T Curriculum
	ANTONIO CAPOLUPO Curriculum

	Objectives
	KNOWLEDGE AND UNDERSTANDING: 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. APPLYING KNOWLEDGE AND UNDERSTANDING: THE AIM IS TO MAKE STUDENTS ABLE TO HANDLE THEORETICAL NOTIONS AND APPLICATIONS IN THE FIELDS LISTED ABOVE. THIS SHOULD FAVOUR THE POSSIBILITY OF INCLUSION IN NATIONAL AND INTERNATIONAL RESEARCH INSTITUTIONS, AS WELL AS IN DIFFERENT WORKING ENVIRONMENTS.

KNOWLEDGE AND UNDERSTANDING:
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.

APPLYING KNOWLEDGE AND UNDERSTANDING:
THE AIM IS TO MAKE STUDENTS ABLE TO HANDLE THEORETICAL NOTIONS AND APPLICATIONS IN THE FIELDS LISTED ABOVE. THIS SHOULD FAVOUR THE POSSIBILITY OF INCLUSION IN NATIONAL AND INTERNATIONAL RESEARCH INSTITUTIONS, AS WELL AS IN DIFFERENT WORKING ENVIRONMENTS.

	Prerequisites
	MATHEMATICAL ANALYSIS, GEOMETRY, GENERAL PHYSICS, LAGRANGIAN AND HAMILTONIAN DYNAMICS, SPECIAL RELATIVITY, QUANTUM MECHANICS.

	Contents
	1) ELECTRODYNAMICS: SPECIAL RELATIVITY. COVARIANT FORMULATION OF MAXWELL’S EQUATIONS. LORENTZ TRANSFORMATIONS OF ELECTROMAGNETIC FIELDS. FIELDS GENERATED BY CHARGED PARTICLES. LAGRANGIAN OF THE ELECTROMAGNETIC FIELDS. MAXWELL’S EQUATIONS DERIVED IN THE LAGRANGIAN FORMALISM. ENERGY-MOMENTUM TENSOR OF THE ELECTROMAGNETIC FIELD. GREEN FUNCTIONS. ADVANCED AND RETARDED GREEN FUNCTION. RADIATION EMITTED BY A CHARGED PARTICLE. LARMOR’S FORMULA AND ITS COVARIANT GENERALIZATION. ANGULAR DISTRIBUTION OF ENERY/POWER EMITTED BY CHARGED PARTICLES. THOMAS SCATTERING. CERENKOV’S RADIATION. 2) GRAVITATION: INERTIAL AND GRAVITATIONAL MASSES. THE CONCEPT OF FORCE IN NEWTONIAN PHYSICS. EQUATIONS OF GEODESIC. EQUATION OF GEODESIC DERIVED FROM THE VARIATIONAL PRINCIPLE AND FROM GENERAL COORDINATES TRANSFORMATIONS. THE WEAK EQUIVALENCE PRINCIPLE. THE ENERGY MOMENTUM TENSOR. RIEMANN AND EINSTEIN TENSOR. EINSTEIN’S FIELD EQUATIONS AND APPLICATION.

Contents

1) ELECTRODYNAMICS: SPECIAL RELATIVITY. COVARIANT FORMULATION OF MAXWELL’S EQUATIONS. LORENTZ TRANSFORMATIONS OF ELECTROMAGNETIC FIELDS. FIELDS GENERATED BY CHARGED PARTICLES. LAGRANGIAN OF THE ELECTROMAGNETIC FIELDS. MAXWELL’S EQUATIONS DERIVED IN THE LAGRANGIAN FORMALISM. ENERGY-MOMENTUM TENSOR OF THE ELECTROMAGNETIC FIELD. GREEN FUNCTIONS. ADVANCED AND RETARDED GREEN FUNCTION. RADIATION EMITTED BY A CHARGED PARTICLE. LARMOR’S FORMULA AND ITS COVARIANT GENERALIZATION. ANGULAR DISTRIBUTION OF ENERY/POWER EMITTED BY CHARGED PARTICLES. THOMAS SCATTERING. CERENKOV’S RADIATION.

2) GRAVITATION: INERTIAL AND GRAVITATIONAL MASSES. THE CONCEPT OF FORCE IN NEWTONIAN PHYSICS. EQUATIONS OF GEODESIC. EQUATION OF GEODESIC DERIVED FROM THE VARIATIONAL PRINCIPLE AND FROM GENERAL COORDINATES TRANSFORMATIONS. THE WEAK EQUIVALENCE PRINCIPLE. THE ENERGY MOMENTUM TENSOR. RIEMANN AND EINSTEIN TENSOR. EINSTEIN’S FIELD EQUATIONS AND APPLICATION.

	Teaching Methods
	DIRECT LECTURES WITH APPLICATIONS AND EXERCISES ON TOPIC RELATED WITH THE CONTENTS OF THE COURSE. THE AIM IS TO PROVIDE FUNDAMENTAL NOTIONS OF PHYSICS AND MATHEMATICS AIMED TO DESCRIBE NEW PHYSICS PHENOMENA, AND COLLABORATE WITH OTHER RESEARCHERS.

	Verification of learning
	ORAL EXAMINATION TO VERIFY THAT STUDENTS HAVE UNDERSTOOD THE ARGUMENTS OF THE LECTURES AND ARE ABLE TO FORMULATE AUTONOMOUS JUDGEMENTS

	Texts
	L.D. LANDAU & E.M. LIFSHITZ, "TEORIA DEI CAMPI", ED.RIUNITI J.D. JACKSON, "ELETTRODINAMICA CLASSICA", ZANICHELLI S. WEINBERG, "GRAVITATION AND COSMOLOGY", WILEY C.W. MISNER, K.S. THORNE, J.A. WHEELER, "GRAVITATION", FREEMAN & CO. R. D’INVERNO, "INTRODUCING EINSTEIN'S RELATIVITY", CLARENDON PRESS G. VILASI, "HAMILTONIAN DYNAMICS", WORLD SCIENTIFIC

	More Information
	ATTENDING TO THE COURSE IS RECOMMENDED. THE STUDENT IS INVITED TO DIRECTLY CONTACT THE PROFESSOR (ALSO IN DAYS AND HOURS NOT INCLUDED IN THE RECEPTION TIME SCHEDULE) FOR FURTHER CLARIFICATIONS OF THE ARGUMENTS OF THE PROGRAM.

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