Canio NOCE | FUNDAMENTALS OF THEORETICAL PHYSICS
Canio NOCE FUNDAMENTALS OF THEORETICAL PHYSICS
cod. 0512600013
FUNDAMENTALS OF THEORETICAL PHYSICS
| 0512600013 | |
| DIPARTIMENTO DI FISICA "E.R. CAIANIELLO" | |
| EQF6 | |
| PHYSICS | |
| 2017/2018 |
| OBBLIGATORIO | |
| YEAR OF COURSE 3 | |
| YEAR OF DIDACTIC SYSTEM 2010 | |
| PRIMO SEMESTRE |
| SSD | CFU | HOURS | ACTIVITY | |
|---|---|---|---|---|
| FIS/02 | 6 | 48 | LESSONS | |
| FIS/02 | 3 | 36 | EXERCISES |
| Objectives | |
|---|---|
| ISTITUZIONI DI FISICA TEORICA IS THE FIRST COURSE OF MODERN PHYSICS AND IT IS RELATED TO SPECIAL RELATIVITY AND QUANTUM MECHANICS. THE MAIN OBJECTIVE OF THE COURSE IS TO PROVIDE THE BASIC CONCEPTS FOR ADDRESSING THE STUDY OF MODERN PHYSICS AND THE INTERCONNECTIONS BETWEEN QUANTUM MECHANICS AND ATOMIC AND MOLECULAR PHYSICS, CREATING THE PRECONDITIONS FOR THE STUDY OF SOLID STATE PHYSICS AND ADVANCED THEORETICAL PHYSICS. THE MAIN ACQUIRED KNOWLEDGE WILL BE THE FUNDAMENTAL ASPECTS OF QUANTUM MECHANICS TOGETHER WITH A THEORETICAL AND EXPERIMENTAL FRAMING OF THE MAIN SUBJECTS OF MODERN PHYSICS, IN THE FIELDS OF NUCLEAR AND SUBNUCLEAR PHYSICS, ATOMIC AND MOLECULAR PHYSICS AND CONDENSED MATTER PHYSICS. MOREOVER, THE STUDENTS WILL ACQUIRE THE KNOWLEDGE OF THE FUNDAMENTAL PRINCIPLES OF NON-RELATIVISTIC QUANTUM MECHANICS, ITS MATHEMATICAL FORMALISM, THE MANAGING OF APPROXIMATION TECHNIQUES AND BASIC APPLICATIONS. THE STUDENTS WILL BE ALSO ABLE TO EXPOSE AND DESCRIBE WITH CLARITY THE FUNDAMENTAL CONCEPTS AND IDEAS OF QUANTUM MECHANICS AND DETERMINE WHERE AND WHEN THEY MUST BE USED; TO SOLVE PROBLEMS AND PROPERLY APPLY ITS MATHEMATICAL FORMALISM; TO CORRECTLY IDENTIFY THE ESSENTIAL ELEMENTS OF SPECIAL RELATIVITY BY PROPERLY IDENTIFYING THE PRINCIPLES TO BE USED. STUDENTS WILL ALSO ACQUIRE THE ABILITY TO APPLY THE ACQUIRED KNOWLEDGE IN DIFFERENT SITUATIONS AND TO PERCEIVE THE INTERDISCIPLINARY VALUE OF RELATIVISTIC MECHANICS AND QUANTUM MECHANICS AND THE METHODOLOGIES OF THESE DISCIPLINES AND THE ABILITY TO SET UP SIMPLE MODEL FOR THE DESCRIPTION OF MICROSCOPIC PHENOMENA. |
| Prerequisites | |
|---|---|
| 1) MATHEMATICAL PREREQUISITES MATRIX ALGEBRA: SYMMETRIC MATRICES; ORTHOGONAL MATRICES; HERMITIAN MATRICES; UNITARY MATRICES; DIAGONALIZATION OF MATRICES; EIGENVALUES AND EIGENVECTORS. VECTORIAL SPACES. SCALAR PRODUCT IN FUNCTIONAL SPACES. INTEGRABLE FUNCTIONS. 2) PHYSICAL PREREQUISITES CLASSICAL MECHANICS; ANALYTICAL MECHANICS; ELECTROMAGNETISM; OPTICS. |
| Contents | |
|---|---|
| THE CRISIS OF CLASSICAL PHYSICS THE MICHELSON-MORLEY EXPERIMENT. BLACK BODY RADIATION. PHOTOELECTRIC EFFECT AND COMPTON EFFECT. RUTHERFORD SCATTERING. WAVE-PARTICLE DUALITY. STERN-GERLACH EXPERIMENT. POLARIZATION STATES OF PHOTONS. SPECIAL RELATIVITY LORENTZ TRANSFORMATIONS. RELATIVISTIC KINEMATICS. RELATIVISTIC DYNAMICS. COLLISIONS. COVARIANT FORMULATION OF THE ELECTROMAGNETIC FIELD. ELECTROMAGNETIC FIELD TENSOR. LORENTZ INVARIANTS. MATHEMATICAL BASIS OF QUANTUM MECHANICS SUPERPOSITION OF STATES. DOUBLE SLIT EXPERIMENTS. UNCERTAINTY HEISENBERG PRINCIPLE. LINEAR OPERATORS. MATRIX REPRESENTATIONS. PRODUCT OF OPERATORS. CHANGE OF BASIS AND UNITARY TRANSFORMATIONS. SCALAR PRODUCT. MEASURES AND OBSERVABLE. EXPECTATION VALUES OF PHYSICAL OBSERVABLES. EIGENVALUES AND EIGENVECTORS OF OBSERVABLES. COMPATIBLE AND INCOMPATIBLE OBSERVABLES. UNCERTAINTY RELATIONS. POSITION OPERATOR. MOMENTUM OPERATOR IN QUANTUM MECHANICS. CANONICAL COMMUTATION RULES. GAUSSIAN WAVE PACKETS. SCHROEDINGER EQUATION HAMILTONIAN OPERATOR. TEMPORAL EVOLUTION OF THE STATES. CURRENT DENSITY AND CONTINUITY EQUATION. SYMMETRIES AND CONSERVATION LAWS. DERIVATIVE OF AN OPERATOR WITH RESPECT TO TIME. EHRENFEST'S THEOREM. STATIONARY STATES. SCHROEDINGER EQUATION FOR THE STATIONARY STATES. PARITY. EIGENVALUES AND EIGENSTATES OF THE OPERATOR OF THE PARITY OPERATOR. SPATIAL INVERSION SYMMETRY AND PARITY CONSERVATION. ONE-DIMENSIONAL PROBLEMS GENERAL PROPERTIES OF THE SCHROEDINGER EQUATION. POTENTIAL WELL AND INFINITE POTENTIAL WELL. DELTA POTENTIAL. STEP POTENTIAL. REFLECTION AND TRANSMISSION COEFFICIENTS. POTENTIAL BARRIER. TUNNEL EFFECT. HARMONIC OSCILLATOR. DIRAC OPERATOR METHOD. EIGENVALUES AND EIGENFUNCTIONS OF ENERGY. GENERAL THEORY OF ANGULAR MOMENTUM ORBITAL ANGULAR MOMENTUM. EIGENVALUES OF ANGULAR MOMENTUM AND SPHERICAL HARMONICS. SPIN ANGULAR MOMENTUM. TWO-BODY PROBLEM MOTION IN A CENTRAL FIELD. COULOMB FIELD. HYDROGEN ATOM. EIGENVALUES AND EIGENFUNCTIONS OF THE DISCRETE SPECTRUM. COMPOSITION OF ANGULAR MOMENTA. CLEBSCH-GORDAN COEFFICIENTS. APPROXIMATION METHODS TIME-INDEPENDENT AND TIME-DEPENDENT PERTURBATION THEORY. VARIATIONAL METHODS. ADVANCED QUANTUM MECHANICS TOPICS BELL INEQUALITY. CLONING THEOREM. TELEPORTATION. |
| Teaching Methods | |
|---|---|
| TEACHING DUTIES INCLUDES 84 HOURS OF LECTURES AND EXERCISES (9 CFU). IN PARTICULAR, THERE ARE 48 HOURS OF CLASSROOM LESSONS (6 CFU) AND 36 HOURS OF EXERCISES. THE COURSE PARTECIPATION, ALTHOUGH NOT MANDATORY, IS HIGHLY RECOMMENDED, ESPECIALLY AS FAR AS THE EXERCISES ARE CONCERNED. |
| Verification of learning | |
|---|---|
| THE ACHIEVEMENT OF THE OBJECTIVES OF THE COURSE IS CERTIFIED BY PASSING AN EVALUATION EXAM WITH A SCORE BETWEEN 18 AND 30. THE EXAM CONSISTS OF A WRITTEN AND AN ORAL PARTS. THE WRITTEN TEST IS PREPARATORY TO THE ORAL ONE AND CONSISTS IN SOLVING TWO PROBLEMS, ONE OF SPECIAL RELATIVITY AND ONE OF QUANTUM MECHANICS, AND IT AIMS TO VERIFY THE LEVEL OF UNDERSTANDING OF THE TOPICS DISCUSSED IN THE LESSONS. THE DURATION OF THE WRITTEN EXAM IS TWO HOURS. THE ORAL TEST CONSISTS OF AN INTERVIEW WITH QUESTIONS AND DISCUSSION ON THE THEORETICAL AND METHODOLOGICAL CONTENTS OF THE PROGRAM OF THE COURSE AND IT IS INTENDED TO ASCERTAIN THE LEVEL OF KNOWLEDGE AND UNDERSTANDING ACQUIRED BY THE STUDENTS, TO VERIFY THE EXPOSURE CAPACITY USING APPROPRIATE TERMINOLOGY AND THE ABILITY TO ORGANIZE THE PRESENTATION OF THE THEORETICAL ARGUMENTS. THE TESTS ARE THE SAME IRRESPECTIVE OF WHETHER THE STUDENT HAS SUCCESSFULLY ATTENDED THE LECTURES OR HAD NOT. |
| Texts | |
|---|---|
| CHOSEN BOOKS 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 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 REFERENCES BOOKS 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 E-MAIL ADDRESS OF THE TEACHER IS CANIO@SA.INFN.IT OR CNOCE@UNISA.IT. THE NEXT YEAR IT WILL BE ACTIVATED A MOODLE AT THE WEB ADDRESS HTTPS://AD.FISICA.UNISA.IT/LOGIN/INDEX.PHP DEVOTED ONLY TO THE STUDENTS THAT WILL ATTEND THE LECTURES. |
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