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 | |
2018/2019 |
OBBLIGATORIO | |
YEAR OF COURSE 3 | |
YEAR OF DIDACTIC SYSTEM 2016 | |
PRIMO SEMESTRE |
SSD | CFU | HOURS | ACTIVITY | |
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FIS/02 | 6 | 48 | LESSONS | |
FIS/02 | 3 | 36 | EXERCISES |
Objectives | |
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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 | |
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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 | |
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THE CRISIS OF CLASSICAL PHYSICS (8 HOURS) 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 (20 HOURS) LORENTZ TRANSFORMATIONS. RELATIVISTIC KINEMATICS. RELATIVISTIC DYNAMICS. COLLISIONS. COVARIANT FORMULATION OF THE ELECTROMAGNETIC FIELD. ELECTROMAGNETIC FIELD TENSOR. LORENTZ INVARIANTS. MATHEMATICAL BASIS OF QUANTUM MECHANICS (10 HOURS) 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 (8 HOURS) 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 (8 HOURS) 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 (8 HOURS) ORBITAL ANGULAR MOMENTUM. EIGENVALUES OF ANGULAR MOMENTUM AND SPHERICAL HARMONICS. SPIN ANGULAR MOMENTUM. TWO-BODY PROBLEM (6 HOURS) 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 (8 HOURS) TIME-INDEPENDENT AND TIME-DEPENDENT PERTURBATION THEORY. VARIATIONAL METHODS. ADVANCED QUANTUM MECHANICS TOPICS (8 HOURS) BELL INEQUALITY. CLONING THEOREM. TELEPORTATION. |
Teaching Methods | |
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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. THE STUDENT WILL USE THE E-LEARNING PLATFORM SPECIALLY DEVELOPED TO DOWNLOAD DIDACTIC MATERIALS (PROBLEMS AND CONSULTATION TEXTS) AND TO GET INFORMATION ABOUT THE TOPICS PRESENTED DURING THE LESSONS. |
Verification of learning | |
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THE ACHIEVEMENT OF THE TEACHING OBJECTIVES IS GRADED ON A SCALE FROM 1 TO 30, WITH 18 AND 30 AS MINIMUM AND MAXIMUM GRADE, RESPECTIVELY. A 'CUM LAUDE' CAN BE ADDED TO THE MAXIMUM GRADE AS A SPECIAL DISTINCTION. THE EXAM HAS A WRITTEN TEST AND THEN AN ORAL DISCUSSION. THE WRITTEN TEST IS PROPEDEUTICAL TO ORAL EXAMINATION AND CONSISTS IN THE SOLUTION OF TWO PROBLEMS, ONE OF SPECIAL RELATIVITY AND ONE OF QUANTUM MECHANICS. IT IS PREPARED IN ORDER TO ASSESS THE UNDERSTANDING OF THE ARGUMENTS DISCUSSED DURING THE LESSONS. THE DURATION OF THE WRITTEN EXAMINATION IS TWO HOURS. THE STUDENTS ARE ADMITTED TO THE ORAL EXAMINATION IF THEIR GET A VOTE GREATER OR MORE THAN 18/30. THE ORAL TEST CONSISTS IN A SERIES OF QUESTIONS WITH A DISCUSSION ON THE THEORETICAL AND METHODOLOGICAL CONTENTS INDICATED IN THE TEACHING PROGRAM AND IT IS AIMED TO FIND THE LEVEL OF KNOWLEDGE AND UNDERSTANDING ACHIEVED BY THE STUDENT AND TO VERIFY THE APPROPRIATE TERMINOLOGY AND THE CAPACITY OF THE ORGANIZATION OF THE PRESENTATION OF THE ARGUMENTS WITH A THEORETICAL CONTENT. THE TESTS ARE THE SAME INDEPENDENTLY OF THE PARTICIPATION TO THE LECTURES. FOR THE PURPOSES OF THE EVALUATION WE WILL TAKE INTO ACCOUNT THE QUALITY OF THE PRESENTATION, IN TERMS OF THE USE OF APPROPRIATE SCIENTIFIC LANGUAGE, OF THE ABILITY TO ORIENTATE BETWEEN THE DIFFERENT ARGUMENTS OF THE COURSE, THE AUTONOMY OF JUDGMENT AND THE VOTE OF THE WRITTEN TEST. AT THE END OF THE PRESENTATION OF THE TOPICS OF SPECIAL RELATIVITY, A WRITTEN EXAMINED TEST IS POSSIBLE. THE EVALUATION OF THE TEST WILL BE EXPRESSED ON A SCALE FROM 1 TO 30, WITH 18 AND 30 AS MINIMUM AND MAXIMUM GRADE, RESPECTIVELY. IF THE SCORE WILL BE GREATER (OR EQUAL) THAN 18/30, THE STUDENT HAS TO SOLVE ONLY THE QUANTUM MECHANICAL PROBLEM AND NO DISCUSSION DURING THE ORAL EXAMINATION WILL BE DEVOTED TO THE SPECIAL RELATIVITY. THE FINAL SCORE ATTRIBUTED TO THE STUDENT WILL BE GIVEN BY THE MEDIA OF THIS TEST AND THE SCORE OBTAINED THE REST OF THE EXAM. |
Texts | |
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CHOSEN BOOKS C. NOCE INTRODUZIONE ALLA FISICA MODERNA ARACNE EDITRICE 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 | |
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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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