Canio NOCE | FUNDAMENTALS OF THEORETICAL PHYSICS

cod. 0512600013

FUNDAMENTALS OF THEORETICAL PHYSICS

	0512600013
	DEPARTMENT OF PHYSICS "E. R. CAIANIELLO"
	EQF6
	PHYSICS
	2024/2025

PERCORSO SHARED STUDY PATHWAY

	OBBLIGATORIO
	YEAR OF COURSE 3
	YEAR OF DIDACTIC SYSTEM 2017
	AUTUMN SEMESTER

TEACHING UNITS

SSD	CFU	HOURS	ACTIVITY	TYPE OF ACTIVITY
FIS/02	8	64	LESSONS	COMPULSORY SUBJECTS, CHARACTERISTIC OF THE CLASS
FIS/02	4	48	EXERCISES	COMPULSORY SUBJECTS, CHARACTERISTIC OF THE CLASS

EXAMS

Exam	Date	Session
APPELLO DI GENNAIO 2025	13/01/2025 - 10:00	SESSIONE ORDINARIA
APPELLO DI GENNAIO 2025	13/01/2025 - 10:00	SESSIONE DI RECUPERO
APPELLO DI FEBBRAIO 2025	03/02/2025 - 10:00	SESSIONE ORDINARIA
APPELLO DI FEBBRAIO 2025	03/02/2025 - 10:00	SESSIONE DI RECUPERO

	Objectives
	INSTITUTIONS OF THEORETICAL PHYSICS REPRESENTS THE FIRST COURSE OF MODERN PHYSICS, DESCRIBING SPECIAL RELATIVITY AND QUANTUM MECHANICS. THE MAIN OBJECTIVE OF THE COURSE IS TO PROVIDE STUDENTS THE OF MODERN PHYSICS AND THE INTERCONNECTIONS BETWEEN QUANTUM MECHANICS AND ATOMIC AND MOLECULAR PHYSICS, CREATING THE BASIS FOR THE STUDY OF SOLID STATE PHYSICS AND ADVANCED THEORETICAL PHYSICS. KNOWLEDGE AND UNDERSTANDING SKILLS 1. UNDERSTANDING OF THE FUNDAMENTAL CONCEPTS OF CLASSICAL MECHANICS 2. KNOWLEDGE OF THE FUNDAMENTAL CONCEPTS AND PRINCIPLES OF RELATIVISTIC MECHANICS 3. KNOWLEDGE OF THE CONCEPTUAL BASIS OF QUANTUM MECHANICS 4. KNOWLEDGE OF THE HARMONIC OSCILLATOR, ANGULAR MOMENTUM, AND THE HYDROGEN ATOM. ABILITY TO APPLY KNOWLEDGE AND UNDERSTANDING 1. ABILITY TO PERFORM TENSOR CALCULATIONS FOR THE STUDY OF RELATIVISTIC MECHANICS 2. ABILITY TO CALCULATE WAVE FUNCTION IN QUANTUM MECHANICS IN DIFFERENT CONTEXTS 3. ABILITY TO APPLY APPROXIMATE TECHNIQUES IN RELATIVISTIC AND QUANTUM MECHANICS 4. ABILITY TO DEVELOP SIMPLE MODELS FOR THE DESCRIPTION OF PHENOMENA OF ATOMIC NATURE

INSTITUTIONS OF THEORETICAL PHYSICS REPRESENTS THE FIRST COURSE OF MODERN PHYSICS, DESCRIBING SPECIAL RELATIVITY AND QUANTUM MECHANICS. THE MAIN OBJECTIVE OF THE COURSE IS TO PROVIDE STUDENTS THE OF MODERN PHYSICS AND THE INTERCONNECTIONS BETWEEN QUANTUM MECHANICS AND ATOMIC AND MOLECULAR PHYSICS, CREATING THE BASIS FOR THE STUDY OF SOLID STATE PHYSICS AND ADVANCED THEORETICAL PHYSICS.

KNOWLEDGE AND UNDERSTANDING SKILLS
1. UNDERSTANDING OF THE FUNDAMENTAL CONCEPTS OF CLASSICAL MECHANICS
2. KNOWLEDGE OF THE FUNDAMENTAL CONCEPTS AND PRINCIPLES OF RELATIVISTIC MECHANICS
3. KNOWLEDGE OF THE CONCEPTUAL BASIS OF QUANTUM MECHANICS
4. KNOWLEDGE OF THE HARMONIC OSCILLATOR, ANGULAR MOMENTUM, AND THE HYDROGEN ATOM.

ABILITY TO APPLY KNOWLEDGE AND UNDERSTANDING
1. ABILITY TO PERFORM TENSOR CALCULATIONS FOR THE STUDY OF RELATIVISTIC MECHANICS
2. ABILITY TO CALCULATE WAVE FUNCTION IN QUANTUM MECHANICS IN DIFFERENT CONTEXTS
3. ABILITY TO APPLY APPROXIMATE TECHNIQUES IN RELATIVISTIC AND QUANTUM MECHANICS
4. ABILITY TO DEVELOP SIMPLE MODELS FOR THE DESCRIPTION OF PHENOMENA OF ATOMIC NATURE

	Prerequisites
	THE COURSE PRESUPPOSES THE KNOWLEDGE OF MATRIX ALGEBRA AND COMPLEX ANALYSIS AND THE PROPERTIES OF SYMMETRIC MATRICES, ORTHOGONAL MATRICES, HERMITIAN MATRICES AND UNITARY MATRICES. THE STUDENT IS ALSO REQUIRED TO HAVE KNOWLEDGE OF CLASSICAL MECHANICS, ANALYTICAL MECHANICS AND ELECTROMAGNETISM. THE COURSE PRESUPPOSES THAT THE STUDENT KNOWS HOW TO PERFORM THE DIAGONALIZATION OF MATRICES AND THE CALCULATION OF EIGENVALUES AND EIGENVECTORS, AS WELL AS THE SCALAR PRODUCT IN FUNCTIONAL SPACES AND THE APPLICATION OF CONCEPTS SUCH AS INTEGRABILITY AND SUMMABILITY. THE COURSES OF ANALYSIS II, GEOMETRY AND PHYSICS II ARE PREPARATORY TO THE PRESENT COURSE.

Prerequisites

THE COURSE PRESUPPOSES THE KNOWLEDGE OF MATRIX ALGEBRA AND COMPLEX ANALYSIS AND THE PROPERTIES OF SYMMETRIC MATRICES, ORTHOGONAL MATRICES, HERMITIAN MATRICES AND UNITARY MATRICES. THE STUDENT IS ALSO REQUIRED TO HAVE KNOWLEDGE OF CLASSICAL MECHANICS, ANALYTICAL MECHANICS AND ELECTROMAGNETISM.
THE COURSE PRESUPPOSES THAT THE STUDENT KNOWS HOW TO PERFORM THE DIAGONALIZATION OF MATRICES AND THE CALCULATION OF EIGENVALUES AND EIGENVECTORS, AS WELL AS THE SCALAR PRODUCT IN FUNCTIONAL SPACES AND THE APPLICATION OF CONCEPTS SUCH AS INTEGRABILITY AND SUMMABILITY.
THE COURSES OF ANALYSIS II, GEOMETRY AND PHYSICS II ARE PREPARATORY TO THE PRESENT COURSE.

	Contents
	CRISIS OF CLASSICAL PHYSICS (10 HOURS, 7 OF THEORY AND 3 OF EXERCISES) MICHELSON AND MORLEY EXPERIMENT; BLACKBODY SPECTRUM; PHOTOELECTRIC EFFECT AND COMPTON EFFECT; ELECTRON DIFFRACTION; REPORT BY DE BROGLIE; RUTHERFORD EXPERIMENT AND ATOMIC SPECTRA; STERN AND GERLACH EXPERIMENT; WAVES AND PARTICLES; INTERFERENCE EXPERIMENTS. SPECIAL RELATIVITY (24 HOURS, 15 HOURS OF THEORY AND 9 OF EXERCISES) LORENTZ TRANSFORMATIONS. INTRODUCTION TO TENSORS. RELATIVISTIC KINEMATICS. RELATIVISTIC DYNAMICS. ELASTIC SCATTERING. COVARIANT FORMULATION OF THE ELECTROMAGNETIC FIELD. ELECTROMAGNETIC FIELD TENSOR. LORENTZ INVARIANTS AND LORENTZ GROUP. MATHEMATICAL BASES OF QUANTUM MECHANICS (10 HOURS, 5 HOURS OF THEORY AND 5 OF EXERCISES) PROBABILITIES AND PROBABILITY AMPLITUDES. UNCERTAINTY PRINCIPLE. LINEAR OPERATORS. MATRIX REPRESENTATIONS. COMPLETENESS CONCEPT. PRODUCT OF OPERATORS. BASIC CHANGES AND UNITARY TRANSFORMATIONS. SCALAR PRODUCT. THE CONCEPT OF MEASUREMENT IN QUANTUM MECHANICS. MEASUREMENTS AND OBSERVABLE. EXPECTATION VALUES OF OBSERVABLES. EIGENVALUES AND EIGENVECTORS OF OBSERVABLES. EIGENVECTORS OF OBSERVABLES AS BASE VECTORS. OBSERVABLE COMPATIBLE AND INCOMPATIBLE. RELATIONSHIP OF UNCERTAINTY. POSITION OPERATOR. MOMENTUM OPERATOR. CANONICAL COMMUTATION RULES. SCHROEDINGER EQUATION (8 HOURS, 6 HOURS OF THEORY AND 2 HOURS OF EXERCISES) HAMILTONIAN OPERATOR. TEMPORAL EVOLUTION OF STATES. CURRENT DENSITY AND CONTINUITY EQUATION. SYMMETRIES AND CONSERVATION LAWS. DERIVATIVE OF AN OPERATOR WITH RESPECT TO TIME. EHRENFEST'S THEOREM. TIME INDEPENDENT STATES. SCHROEDINGER EQUATION FOR TIME INDEPENDENT STATES. PARITY. EIGENVALUES AND EIGENSTATES OF THE PARITY OPERATOR. SYMMETRY FOR SPATIAL INVERSION AND PARITY CONSERVATION. ONE-DIMENSIONAL PROBLEMS (16 HOURS, 8 HOURS OF THEORY AND 8 OF EXERCISES) GENERAL PROPERTIES OF THE SCHROEDINGER EQUATION. INFINITE AND FINITE POTENTIAL WELL. STEP OF POTENTIAL. TRANSMISSION AND REFLECTION COEFFICIENTS. BARRIER OF POTENTIAL. TUNNEL EFFECT. HARMONIC OSCILLATOR. DIRAC'S OPERATIVE METHOD FOR THE SOLUTION OF THE SCHROEDINGER EQUATION OF THE HARMONIC OSCILLATOR. GENERAL THEORY OF ANGULAR MOMENTUM (8 HOURS, 6 HOURS OF THEORY AND 2 HOURS OF EXERCISES) ANALYTICAL SOLUTION AND ALGEBRAIC SOLUTION OF THE EIGENVALUE EQUATION FOR THE ANGULAR MOMENTUM OPERATOR. EIGENVALUES AND EIGENVECTORS OF THE ANGULAR MOMENTUM OPERATOR. ORBITAL ANGULAR MOMENTUM AND SPIN ANGULAR MOMENTUM. COMPOSITION OF ANGULAR MOMENTS. CLEBSCH-GORDAN COEFFICIENTS. MOTION IN A CENTRAL FIELD (10 HOURS, 6 OF THEORY AND 4 OF EXERCISES) COULOMBIAN FIELD. HYDROGEN ATOM. EIGENVALUES AND EIGENFUNCTIONS OF THE DISCRETE SPECTRUM. CALCULATION OF MEAN VALUES OF DIFFERENT PHYSICAL QUANTITIES IN THE STATES OF THE HYDROGEN ATOM. SCHRODINGER EQUATION FOR THE HYDROGEN ATOM IN THE PRESENCE OF ELECTROMAGNETIC RADIATION. APPROXIMATION METHODS (16 HOURS, 6 HOURS OF THEORY AND 10 HOURS OF EXERCISES) THEORY OF TIME-DEPENDENT AND INDEPENDENT PERTURBATIONS. NON-DEGENERATE CASE AND DEGENERATE CASE. VARIATIONAL METHOD. APPLICATIONS. FINE STRUCTURE CORRECTIONS. RELATIVISTIC CORRECTIONS TO KINETIC ENERGY, SPIN-ORBIT COUPLING AND DARWIN'S TERM. ZEEMAN EFFECT. PASCHEN-BACK EFFECT. LINEAR AND QUADRATIC STARK EFFECT. ABSORPTION AND EMISSION OF RADIATION. DIPOLE APPROXIMATION. SELECTION RULES. MODERN QUANTUM MECHANICS (10 HOURS, 5 HOURS OF THEORY AND 5 HOURS OF EXERCISES) EPR PARADOX. BELL'S INEQUALITY. EXPERIMENTAL TESTS. CLONING THEOREM. QUANTUM TELEPORTATION. ELEMENTS OF QUANTUM CRYPTOGRAPHY.

Contents

CRISIS OF CLASSICAL PHYSICS (10 HOURS, 7 OF THEORY AND 3 OF EXERCISES)
MICHELSON AND MORLEY EXPERIMENT; BLACKBODY SPECTRUM; PHOTOELECTRIC EFFECT AND COMPTON EFFECT; ELECTRON DIFFRACTION; REPORT BY DE BROGLIE; RUTHERFORD EXPERIMENT AND ATOMIC SPECTRA; STERN AND GERLACH EXPERIMENT; WAVES AND PARTICLES; INTERFERENCE EXPERIMENTS.
SPECIAL RELATIVITY (24 HOURS, 15 HOURS OF THEORY AND 9 OF EXERCISES)
LORENTZ TRANSFORMATIONS. INTRODUCTION TO TENSORS. RELATIVISTIC KINEMATICS. RELATIVISTIC DYNAMICS. ELASTIC SCATTERING. COVARIANT FORMULATION OF THE ELECTROMAGNETIC FIELD. ELECTROMAGNETIC FIELD TENSOR. LORENTZ INVARIANTS AND LORENTZ GROUP.
MATHEMATICAL BASES OF QUANTUM MECHANICS (10 HOURS, 5 HOURS OF THEORY AND 5 OF EXERCISES)
PROBABILITIES AND PROBABILITY AMPLITUDES. UNCERTAINTY PRINCIPLE. LINEAR OPERATORS. MATRIX REPRESENTATIONS. COMPLETENESS CONCEPT. PRODUCT OF OPERATORS. BASIC CHANGES AND UNITARY TRANSFORMATIONS. SCALAR PRODUCT. THE CONCEPT OF MEASUREMENT IN QUANTUM MECHANICS. MEASUREMENTS AND OBSERVABLE. EXPECTATION VALUES OF OBSERVABLES. EIGENVALUES AND EIGENVECTORS OF OBSERVABLES. EIGENVECTORS OF OBSERVABLES AS BASE VECTORS. OBSERVABLE COMPATIBLE AND INCOMPATIBLE. RELATIONSHIP OF UNCERTAINTY. POSITION OPERATOR. MOMENTUM OPERATOR. CANONICAL COMMUTATION RULES.
SCHROEDINGER EQUATION (8 HOURS, 6 HOURS OF THEORY AND 2 HOURS OF EXERCISES)
HAMILTONIAN OPERATOR. TEMPORAL EVOLUTION OF STATES. CURRENT DENSITY AND CONTINUITY EQUATION. SYMMETRIES AND CONSERVATION LAWS. DERIVATIVE OF AN OPERATOR WITH RESPECT TO TIME. EHRENFEST'S THEOREM. TIME INDEPENDENT STATES. SCHROEDINGER EQUATION FOR TIME INDEPENDENT STATES. PARITY. EIGENVALUES AND EIGENSTATES OF THE PARITY OPERATOR. SYMMETRY FOR SPATIAL INVERSION AND PARITY CONSERVATION.
ONE-DIMENSIONAL PROBLEMS (16 HOURS, 8 HOURS OF THEORY AND 8 OF EXERCISES)
GENERAL PROPERTIES OF THE SCHROEDINGER EQUATION. INFINITE AND FINITE POTENTIAL WELL. STEP OF POTENTIAL. TRANSMISSION AND REFLECTION COEFFICIENTS. BARRIER OF POTENTIAL. TUNNEL EFFECT. HARMONIC OSCILLATOR. DIRAC'S OPERATIVE METHOD FOR THE SOLUTION OF THE SCHROEDINGER EQUATION OF THE HARMONIC OSCILLATOR.
GENERAL THEORY OF ANGULAR MOMENTUM (8 HOURS, 6 HOURS OF THEORY AND 2 HOURS OF EXERCISES)
ANALYTICAL SOLUTION AND ALGEBRAIC SOLUTION OF THE EIGENVALUE EQUATION FOR THE ANGULAR MOMENTUM OPERATOR. EIGENVALUES AND EIGENVECTORS OF THE ANGULAR MOMENTUM OPERATOR. ORBITAL ANGULAR MOMENTUM AND SPIN ANGULAR MOMENTUM. COMPOSITION OF ANGULAR MOMENTS. CLEBSCH-GORDAN COEFFICIENTS.
MOTION IN A CENTRAL FIELD (10 HOURS, 6 OF THEORY AND 4 OF EXERCISES)
COULOMBIAN FIELD. HYDROGEN ATOM. EIGENVALUES AND EIGENFUNCTIONS OF THE DISCRETE SPECTRUM. CALCULATION OF MEAN VALUES OF DIFFERENT PHYSICAL QUANTITIES IN THE STATES OF THE HYDROGEN ATOM. SCHRODINGER EQUATION FOR THE HYDROGEN ATOM IN THE PRESENCE OF ELECTROMAGNETIC RADIATION.
APPROXIMATION METHODS (16 HOURS, 6 HOURS OF THEORY AND 10 HOURS OF EXERCISES)
THEORY OF TIME-DEPENDENT AND INDEPENDENT PERTURBATIONS. NON-DEGENERATE CASE AND DEGENERATE CASE. VARIATIONAL METHOD. APPLICATIONS. FINE STRUCTURE CORRECTIONS. RELATIVISTIC CORRECTIONS TO KINETIC ENERGY, SPIN-ORBIT COUPLING AND DARWIN'S TERM. ZEEMAN EFFECT. PASCHEN-BACK EFFECT. LINEAR AND QUADRATIC STARK EFFECT. ABSORPTION AND EMISSION OF RADIATION. DIPOLE APPROXIMATION. SELECTION RULES.
MODERN QUANTUM MECHANICS (10 HOURS, 5 HOURS OF THEORY AND 5 HOURS OF EXERCISES)
EPR PARADOX. BELL'S INEQUALITY. EXPERIMENTAL TESTS. CLONING THEOREM. QUANTUM TELEPORTATION. ELEMENTS OF QUANTUM CRYPTOGRAPHY.

	Teaching Methods
	THE COURSE INCLUDES 112 HOURS OF TEACHING IN THE CLASSROOM, INCLUDING LESSONS AND EXERCISES (12 CFU). IN PARTICULAR, THERE WILL BE 64 HOURS OF LESSONS (8 CFU) AND 48 HOURS OF EXERCISES AND SPECIAL TOPICS (4 CFU). IN THE THEORETICAL LESSONS THE CONTENT OF THE COURSE IS PRESENTED FOLLOWING THE HISTORICAL DEVELOPMENT OF THE DISCIPLINE. IN THE EXERCISES ARE DISCUSSED PROBLEMS TO BE SOLVED USING THE TECHNIQUES PRESENTED IN THE THEORETICAL LESSONS, WITH INCREASING COMPLEXITY. THE DEVELOPMENT OF THE PROBLEM IS GUIDED BY THE TEACHER AND TENDS TO DEVELOP AND STRENGTHEN THE ABILITY TO IDENTIFY THE MOST SUITABLE TECHNIQUES FOR THE SOLUTION OF THE EXERCISE. THE ATTENDANCE OF THE COURSE, ALTHOUGH NOT MANDATORY, IS STRONGLY RECOMMENDED, ESPECIALLY AS REGARDS THE EXERCISES. THE STUDENT ALSO HAS THE OPPORTUNITY TO USE THE E-LEARNING PLATFORM SPECIFICALLY CREATED TO DOWNLOAD TEACHING MATERIAL (PROBLEMS AND REFERENCE TEXTS) AND TO INQUIRE ABOUT THE TOPICS COVERED IN CLASS.

Teaching Methods

THE COURSE INCLUDES 112 HOURS OF TEACHING IN THE CLASSROOM, INCLUDING LESSONS AND EXERCISES (12 CFU). IN PARTICULAR, THERE WILL BE 64 HOURS OF LESSONS (8 CFU) AND 48 HOURS OF EXERCISES AND SPECIAL TOPICS (4 CFU).
IN THE THEORETICAL LESSONS THE CONTENT OF THE COURSE IS PRESENTED FOLLOWING THE HISTORICAL DEVELOPMENT OF THE DISCIPLINE. IN THE EXERCISES ARE DISCUSSED PROBLEMS TO BE SOLVED USING THE TECHNIQUES PRESENTED IN THE THEORETICAL LESSONS, WITH INCREASING COMPLEXITY. THE DEVELOPMENT OF THE PROBLEM IS GUIDED BY THE TEACHER AND TENDS TO DEVELOP AND STRENGTHEN THE ABILITY TO IDENTIFY THE MOST SUITABLE TECHNIQUES FOR THE SOLUTION OF THE EXERCISE. THE ATTENDANCE OF THE COURSE, ALTHOUGH NOT MANDATORY, IS STRONGLY RECOMMENDED, ESPECIALLY AS REGARDS THE EXERCISES. THE STUDENT ALSO HAS THE OPPORTUNITY TO USE THE E-LEARNING PLATFORM SPECIFICALLY CREATED TO DOWNLOAD TEACHING MATERIAL (PROBLEMS AND REFERENCE TEXTS) AND TO INQUIRE ABOUT THE TOPICS COVERED IN CLASS.

	Verification of learning
	THE EXAM IS AIMED TO EVALUATE THE KNOWLEDGE OF THE FUNDAMENTAL PRINCIPLES OF RELATIVISTIC MECHANICS AND QUANTUM MECHANICS. THE EXAM INCLUDES A WRITTEN AND AN ORAL TEST, BOTH EVALUATED IN THIRTIETHS. TO TAKE THE ORAL EXAM YOU MUST PASS THE WRITTEN TEST WITH A MINIMUM SCORE OF 18/30. DURING THE LECTURES THERE WILL BE A PARTIAL WRITTEN TEST, EXEMPTING A PART OF THE WRITTEN EXAM. THE PARTIAL TEST IN ITINERE FOCUSES ONLY ON TOPICS OF RELATIVITY AND IS EVALUATED IN THIRTIETHS. THE TEST REQUIRES THE SOLUTION OF OPEN-ENDED QUESTIONS AND MULTIPLE CHOICE QUESTIONS. IF THE SCORE WILL BE GREATER THAN OR EQUAL TO 18/30 THE STUDENT CAN CONSIDER HIMSELF EXEMPTED FROM SOLVING THE RELATIVITY EXERCISE PRESENT IN THE WRITTEN TESTS OF THE FINAL WRITTEN EXAM AND WILL NOT GIVE THE ORAL EXAM ON RELATIVITY TOPICS. THE FINAL SCORE GIVEN TO THE WRITTEN TEST WILL BE GIVEN BY THE AVERAGE OF THE MARKS OF THIS TEST AND THE QUANTUM MECHANICS EXERCISE. THE WRITTEN TEST OF THE EXAM, AIMED AT VERIFYING THE LEVEL OF UNDERSTANDING OF THE TOPICS COVERED IN THE LESSONS, CONSISTS OF THE SOLUTION OF TWO PROBLEMS, ONE OF SPECIAL RELATIVITY AND ONE OF QUANTUM MECHANICS. THE TIME ALLOCATED TO THE TEST IS NINETY MINUTES, IF THE STUDENT HAS PASSED THE EXEMPTION TEST, AND ONE HUNDRED AND TWENTY MINUTES, IN OTHER CASES. THE EVALUATION OF THE ORAL TESTS WILL TAKE INTO ACCOUNT THE ABILITY TO IDENTIFY THE MOST APPROPRIATE STRATEGIES TO ANALYZE THE TOPICS OF THE COURSE, THE ABILITY TO EXPOSE IN A CLEAR AND SYNTHETIC WAY THE OBJECTIVES, THE PROCEDURE AND THE RESULTS OF THE WORK CARRIED OUT, AS WELL AS THE ABILITY TO DEEPEN THE TOPICS COVERED, ORIENTING HIMSELF APPROPRIATELY AMONG THE PROPOSED MATERIALS. THE MINIMUM LEVEL OF EVALUATION (18/30) IS GIVEN WHEN THE STUDENT DEMONSTRATES THE KNOWLEDGE OF THE FUNDAMENTAL CONCEPTS OF RELATIVISTIC MECHANICS AND QUANTUM MECHANICS, SHOWING, ALSO, A KNOWLEDGE OF THE MAIN TECHNIQUES AND METHODOLOGIES OF MODERN PHYSICS AND A REASONABLE EXPOSITIVE ABILITY. THE MAXIMUM LEVEL (30/30) IS GIVEN WHEN THE STUDENT DEMONSTRATES A COMPLETE AND DEEP KNOWLEDGE OF THE CONCEPTS AND METHODS OF MODERN PHYSICS AND SHOWS A REMARKABLE ABILITY TO CONNECT AND EXPOSE THE PROPERTIES OF THE DIFFERENT TOPICS. THE FINAL GRADE, EXPRESSED IN THIRTIETHS IS OBTAINED AS THE AVERAGE OF THE TWO TESTS, THE WRITTEN AND THE ORAL. THE LAUDE IS AWARDED WHEN THE CANDIDATE DEMONSTRATES SIGNIFICANT KNOWLEDGE OF THE THEORETICAL AND OPERATIONAL CONTENT AND SHOWS THE ABILITY TO PRESENT THE ARGUMENTS WITH CONSIDERABLE LANGUAGE AND ABILITY TO WORK INDEPENDENTLY EVEN IN CONTEXTS OTHER THAN THOSE PROPOSED BY THE TEACHER.

Verification of learning

THE EXAM IS AIMED TO EVALUATE THE KNOWLEDGE OF THE FUNDAMENTAL PRINCIPLES OF RELATIVISTIC MECHANICS AND QUANTUM MECHANICS.
THE EXAM INCLUDES A WRITTEN AND AN ORAL TEST, BOTH EVALUATED IN THIRTIETHS. TO TAKE THE ORAL EXAM YOU MUST PASS THE WRITTEN TEST WITH A MINIMUM SCORE OF 18/30. DURING THE LECTURES THERE WILL BE A PARTIAL WRITTEN TEST, EXEMPTING A PART OF THE WRITTEN EXAM. THE PARTIAL TEST IN ITINERE FOCUSES ONLY ON TOPICS OF RELATIVITY AND IS EVALUATED IN THIRTIETHS. THE TEST REQUIRES THE SOLUTION OF OPEN-ENDED QUESTIONS AND MULTIPLE CHOICE QUESTIONS. IF THE SCORE WILL BE GREATER THAN OR EQUAL TO 18/30 THE STUDENT CAN CONSIDER HIMSELF EXEMPTED FROM SOLVING THE RELATIVITY EXERCISE PRESENT IN THE WRITTEN TESTS OF THE FINAL WRITTEN EXAM AND WILL NOT GIVE THE ORAL EXAM ON RELATIVITY TOPICS. THE FINAL SCORE GIVEN TO THE WRITTEN TEST WILL BE GIVEN BY THE AVERAGE OF THE MARKS OF THIS TEST AND THE QUANTUM MECHANICS EXERCISE.
THE WRITTEN TEST OF THE EXAM, AIMED AT VERIFYING THE LEVEL OF UNDERSTANDING OF THE TOPICS COVERED IN THE LESSONS, CONSISTS OF THE SOLUTION OF TWO PROBLEMS, ONE OF SPECIAL RELATIVITY AND ONE OF QUANTUM MECHANICS. THE TIME ALLOCATED TO THE TEST IS NINETY MINUTES, IF THE STUDENT HAS PASSED THE EXEMPTION TEST, AND ONE HUNDRED AND TWENTY MINUTES, IN OTHER CASES.
THE EVALUATION OF THE ORAL TESTS WILL TAKE INTO ACCOUNT THE ABILITY TO IDENTIFY THE MOST APPROPRIATE STRATEGIES TO ANALYZE THE TOPICS OF THE COURSE, THE ABILITY TO EXPOSE IN A CLEAR AND SYNTHETIC WAY THE OBJECTIVES, THE PROCEDURE AND THE RESULTS OF THE WORK CARRIED OUT, AS WELL AS THE ABILITY TO DEEPEN THE TOPICS COVERED, ORIENTING HIMSELF APPROPRIATELY AMONG THE PROPOSED MATERIALS.
THE MINIMUM LEVEL OF EVALUATION (18/30) IS GIVEN WHEN THE STUDENT DEMONSTRATES THE KNOWLEDGE OF THE FUNDAMENTAL CONCEPTS OF RELATIVISTIC MECHANICS AND QUANTUM MECHANICS, SHOWING, ALSO, A KNOWLEDGE OF THE MAIN TECHNIQUES AND METHODOLOGIES OF MODERN PHYSICS AND A REASONABLE EXPOSITIVE ABILITY.
THE MAXIMUM LEVEL (30/30) IS GIVEN WHEN THE STUDENT DEMONSTRATES A COMPLETE AND DEEP KNOWLEDGE OF THE CONCEPTS AND METHODS OF MODERN PHYSICS AND SHOWS A REMARKABLE ABILITY TO CONNECT AND EXPOSE THE PROPERTIES OF THE DIFFERENT TOPICS.
THE FINAL GRADE, EXPRESSED IN THIRTIETHS IS OBTAINED AS THE AVERAGE OF THE TWO TESTS, THE WRITTEN AND THE ORAL. THE LAUDE IS AWARDED WHEN THE CANDIDATE DEMONSTRATES SIGNIFICANT KNOWLEDGE OF THE THEORETICAL AND OPERATIONAL CONTENT AND SHOWS THE ABILITY TO PRESENT THE ARGUMENTS WITH CONSIDERABLE LANGUAGE AND ABILITY TO WORK INDEPENDENTLY EVEN IN CONTEXTS OTHER THAN THOSE PROPOSED BY THE TEACHER.

	Texts
	C. NOCE INTRODUZIONE ALLA FISICA MODERNA ARACNE EDITRICE C. NOCE MODERN PHYSICS IOP PUBLISHING R. RESNICK INTRODUZIONE ALLA RELATIVITÀ RISTRETTA CEA AMBROSIANA W. RINDLER INTRODUCTION TO SPECIAL RELATIVITY CLARENDON J. D. JACKSON CLASSICAL ELECTRODYNAMICS WILEY & SONS D. J. GRIFFITHS E D. F. SCHROETER INTRODUZIONE ALLA MECCANICA QUANTISTICA CEA AMBROSIANA D. J. GRIFFITHS INTRODUZIONE ALLA MECCANICA QUANTISTICA CEA AMBROSIANA C. COHEN-TANNOUDJI, B. DIU, F. LALOE QUANTUM MECHANICS I & II WILEY & SONS R. ROSSETTI ISTITUZIONI DI FISICA TEORICA LEVROTTO E BELLA C. ROSSETTI ESERCIZI DI MECCANICA QUANTISTICA ELEMENTARE LEVROTTO E BELLA TESTI D CONSULTAZIONE E DI APPROFONDIMENTO D. HALLIDAY, R. RESNIK, J. WALKER FONDAMENTI DI FISICA. FISICA MODERNA ZANICHELLI P. G. BERGMANN INTRODUCTION TO THE THEORY OF RELATIVITY DOVER L. LANDAU, E. LIFSHITZ FISICA TEORICA: TEORIA DEI CAMPI EDITORI RIUNITI L. LANDAU, E. LIFSCHITZ FISICA TEORICA: MECCANICA QUANTISTICA EDITORI RIUNITI J. J. SAKURAI MECCANICA QUANTISTICA MODERNA ZANICHELLI P. A. M. DIRAC THE PRINCIPLES OF QUANTUM MECHANICS OXFORD UNIVERSITY PRESS G. BUSIELLO, C. NOCE PROBLEMI DI FISICA TEORICA PATRON L. ANGELINI MECCANICA QUANTISTICA: PROBLEMI SCELTI SPRINGER VERLAG

Texts

C. NOCE INTRODUZIONE ALLA FISICA MODERNA ARACNE EDITRICE
C. NOCE MODERN PHYSICS IOP PUBLISHING
R. RESNICK INTRODUZIONE ALLA RELATIVITÀ RISTRETTA CEA AMBROSIANA
W. RINDLER INTRODUCTION TO SPECIAL RELATIVITY CLARENDON
J. D. JACKSON CLASSICAL ELECTRODYNAMICS WILEY & SONS
D. J. GRIFFITHS E D. F. SCHROETER INTRODUZIONE ALLA MECCANICA QUANTISTICA CEA AMBROSIANA
D. J. GRIFFITHS INTRODUZIONE ALLA MECCANICA QUANTISTICA CEA AMBROSIANA
C. COHEN-TANNOUDJI, B. DIU, F. LALOE QUANTUM MECHANICS I & II WILEY & SONS
R. ROSSETTI ISTITUZIONI DI FISICA TEORICA LEVROTTO E BELLA
C. ROSSETTI ESERCIZI DI MECCANICA QUANTISTICA ELEMENTARE LEVROTTO E BELLA
TESTI D CONSULTAZIONE E DI APPROFONDIMENTO
D. HALLIDAY, R. RESNIK, J. WALKER FONDAMENTI DI FISICA. FISICA MODERNA ZANICHELLI
P. G. BERGMANN INTRODUCTION TO THE THEORY OF RELATIVITY DOVER
L. LANDAU, E. LIFSHITZ FISICA TEORICA: TEORIA DEI CAMPI EDITORI RIUNITI
L. LANDAU, E. LIFSCHITZ FISICA TEORICA: MECCANICA QUANTISTICA EDITORI RIUNITI
J. J. SAKURAI MECCANICA QUANTISTICA MODERNA ZANICHELLI
P. A. M. DIRAC THE PRINCIPLES OF QUANTUM MECHANICS OXFORD UNIVERSITY PRESS
G. BUSIELLO, C. NOCE PROBLEMI DI FISICA TEORICA PATRON
L. ANGELINI MECCANICA QUANTISTICA: PROBLEMI SCELTI SPRINGER VERLAG

	More Information
	THE TEACHER CAN BE CONTACTED AT THE FOLLOWING EMAIL ADDRESSES: CNOCE@UNISA.IT OR CANIO@SA.INFN.IT A MOODLE OF THE COURSE WILL BE ALSO ACTIVE AT THE ADDRESS: HTTPS://AD.FISICA.UNISA.IT/LOGIN/INDEX.PHP RESERVED FOR STUDENTS ENROLLED IN THE COURSE.

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Canio NOCE | FUNDAMENTALS OF THEORETICAL PHYSICS

FUNDAMENTALS OF THEORETICAL PHYSICS

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Canio NOCE | FUNDAMENTALS OF THEORETICAL PHYSICS