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" | |
| PHYSICS | |
| 2015/2016 |
| OBBLIGATORIO | |
| YEAR OF COURSE 3 | |
| YEAR OF DIDACTIC SYSTEM 2010 | |
| PRIMO SEMESTRE |
| SSD | CFU | HOURS | ACTIVITY | |
|---|---|---|---|---|
| FIS/02 | 7 | 56 | LESSONS | |
| FIS/02 | 2 | 24 | EXERCISES |
| Objectives | |
|---|---|
| 1) KNOWLEDGE AND UNDERSTANDING CONSOLIDATION OF KNOWLEDGE AND UNDERSTANDING OF THE CLASSICAL PHYSICS AND MICRO PHYSICS, WITH PARTICULAR REFERENCE TO QUANTUM MECHANICS. KNOWLEDGE OF ADVANCED TOPICS OF QUANTUM PHYSICS. 2) APPLYING KNOWLEDGE AND UNDERSTANDING ABILITY TO APPLY THE KNOWLEDGE ACQUIRED IN DIFFERENT CONTEXTS AND TO PERCEIVE THE INTERDISCIPLINARY VALUE OF QUANTUM MECHANICS AND METHODOLOGIES OF THIS DISCIPLINE. CAPACITY TO MANAGE SIMPLE MODELS FOR THE DESCRIPTION OF THE PHENOMENA OF ATOMIC NATURE. APPLICATIONS OF KNOWLEDGE TO THE STUDY OF ADVANCED PROBLEMS. 3) MAKING JUDGEMENTS ADVANCED SKILLS OF CRITICAL REASONING AND PROBLEM-SOLVING QUANTUM MECHANICS, THROUGH THE USE OF THEORETICAL ARGUMENTS AND MODELS, BOTH WITH AND WITHOUT THE SUPERVISION OF THE TEACHER. 4) COMMUNICATION SKILLS ABILITY TO ENGAGE SCIENTIFIC DISCUSSION USING THE ARGUMENTS LEARNED. ABILITY TO USE COMPUTATIONAL TOOLS TO PRESENT THE TOPICS OF THE COURSE. 5) LEARNING SKILLS ADVANCED SKILLS OF INDEPENDENT LEARNING, BOTH IN ITALIAN AND ENGLISH. |
| Prerequisites | |
|---|---|
| MATRIX ALGEBRA: SYMMETRIC MATRICES; ORTHOGONAL MATRICES; HERMITEAN MATRICES; UNITARY MATRICES; DIAGONALIZATION OF MATRICES; EIGENVALUES AND EIGENVECTORS. VECTORIAL SPACES; INNER PRODUCT IN VECTORIAL SPACES. INTEGRABILITY AND REGULARIZATION OF INTEGRAL. CLASSICAL MECHANICS; ANALYTICAL MECHANICS; ELECTROMAGNETISM; ELEMENTS OF SPECIAL RELATIVITY. |
| Contents | |
|---|---|
| THE BIRTH OF QUANTUM MECHANICS. BLACK BODY RADIATION. PHOTOELECTRIC EFFECT AND COMPTON EFFECT. RUTHERFORD SCATTERING. WAVE-PARTICLE DUALITY. STERN-GERLACH EXPERIMENT. POLARIZATION STATES OF PHOTONS. 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. TIME-INDEPENDENT AND TIME-DEPENDENT PERTURBATION THEORY. VARIATIONAL METHODS. BELL INEQUALITY. CLONING THEOREM. |
| Teaching Methods | |
|---|---|
| THE LECTURES ARE GIVEN BY THE TEACHER, SOMETIMES WITH THE HELP OF SLIDES. |
| Verification of learning | |
|---|---|
| THERE IS FIRST A WRITTEN EXAMINATION (TESTS AND/OR PROBLEMS) AND THEN ORAL EXAMINATION ON THE ARGUMENT OF THE LECTURES. NO DISTINCTION IS MADE AMONG THE STUDENTS WHO ATTENDED THE LECTURES AND OTHER STUDENTS. |
| Texts | |
|---|---|
| D. J. GRIFFITHS INTRODUCTION TO QUANTUM MECHANICS, WILEY. C. COHEN-TANNOUDJI, B. DIU & F. LALOE QUANTUM MECHANICS I & II WILEY-INTERSCIENCE. L. LANDAU & E. LIFSCHITZ, QUANTUM MECHANICS, PERGAMON PRESS. J. J. SAKURAI, MODERN QUANTUM MECHANICS, ADDISON WESLEY. S. GASIOROWICZ, QUANTUM PHYSICS, J.WILEY & SONS. P. A.M. DIRAC THE PRINCIPLES OF QUANTUM MECHANICS OXFORD UNIVERSITY PRESS. R.P. FEYNMAN ET AL., THE FEYNMAN LECTURES ON PHYSICS, VOLUME III, ADDISON WESLEY. |
| More Information | |
|---|---|
| THE E-MAIL ADDRESS OF THE TEACHER IS CANIO@SA.INFN.IT OR CNOCE@UNISA.IT. FOR INFORMATION ON THE COURSE (TIMETABLE OF LECTURES AND EXAMINATIONS, PROGRAMME OF THE COURSE) THE STUDENTS CAN USE THE FOLLOWING URL WWW.SA.INFN.IT/CANIO.NOCE/TEACHING.HTLM. |
BETA VERSION Data source ESSE3 [Ultima Sincronizzazione: 2016-09-30]
