Politecnico di Torino  
Academic Year 2017/18  
19AXPOD Physics II 

1st degree and Bachelorlevel of the Bologna process in Physical Engineering  Torino 





Esclusioni: 04KXW; 06QPW 
Subject fundamentals
Aim of the course (1st semester, 2nd year) is to provide the students of Electronic Engineering and Physical Engineering with the theoretical concepts to be used in all courses of the following semesters. This is therefore a pivotal course for the ensuing career of an electronic engineer and a physics engineer.
The course is divided in two sections: in the first one (Classical Electromagnetism), fundamental subjects of basic physics are treated, such as: electromagnetism and the Maxwell's equations, physical and geometrical optics. In the second section (Introduction to Quantum Mechanics and Structure of Matter), students are divided in two groups, composed of all physics engineers (SQ1) and all electronic engineers (SQ2). For students of Physics Engineering, the subjects involve: the crisis of classical mechanics, the transition to the fundaments of modern physics, with emphasis on quantum physics and its implications in terms of methods and practice. For students of Electronic Engineering, the quantum physics concepts needed to describe electronic and optical properties of matter are developed, with emphasis to the classes of semiconductor and metallic materials. 
Expected learning outcomes
 Knowledge of magnetostatics.
 Ability to apply magnetostatics to simple problems.  Knowledge of basic principles of timedependent electric and magnetic fields.  Knowledge of Maxwell's equations.  Ability to apply the Maxwell's equations to solve elementary problems of electromagnetism.  Knowledge of wave optics as a consequence of Maxwell's equations.  Knowledge of wave optics laws and of properties of electromagnetic waves.  Ability to apply the laws of wave and geometrical optics e to basic problems and simple optical instruments.  Preliminary knowledge of laws and principles of quantum mechanics.  Ability to solve elementary problems of quantum mechanics  Preliminary knowledge of quantum statistics  Ability to use quantum statistics in the description of condensed matter properties. 
Prerequisites / Assumed knowledge
 Basic physics (mechanics, thermodynamics)
 Basic mathematics and geometry 
Contents
Recall of electrostatics: electric force, electric field and potential; magnetostatic field and their generation; electric current and Ohm law; AmpereLaplace e BiotSavart laws; electric polarization of matter; magnetic field in matter (diamagnetism, paramagnetism and ferromagnetism); time dependent electric and magnetic fields; electromagnetic induction (3,5 CFU)
 Maxwell’s equations and electromanetic waves propagation; geometrical and wave optics (interference and diffraction) (1,5 CFU) SQ1  Recalls of classical thermodynamics; Inadequacies of classical physics (crucial experiments, their description and their interpretation; need to formulate a new physical theory); the Schroedinger's equation and representation; properties of quantum operators in the Schroedinger's representation; eigenfunctions and eigenvalues of a quantum operator; measurement of a physical quantity; indeterminacy principle. (1,5 CFU)  Analysis of onedimensional quantum problems; an overview of the Hydrogen atom and molecule; the Schroedinger's equation for an infinite array of potential wells; elements of statistical mechanics applied to quantum systems (the harmonic oscillator); the gas of photons and phonons (the BoseEinstein's distribution), the solution of the blackbody problem; the specific heat of solids (in the Einstein's approach), the electron gas (the FermiDirac's distribution) (1,5 CFU). SQ2  From classical to quantum physics; the Schroedinger's equation; measurement of a physical quantity; indeterminacy principle; onedimensional quantum problems; the Schroedinger's equation for an infinite array of potential wells; electrons in crystalline solids; BoseEinstein and FermiDirac distrubutions. (2 CFU)  Electrical properties of semiconductors and metals (quantum approach); photonmatter interaction (1 CFU) 
Delivery modes
Class exercises concern with simple problem solving activities, in strict correlation with the previous theoretical lectures. In some cases scientific calculators (students' personal property) may be required.

Texts, readings, handouts and other learning resources
Classical Electromagnetism:
 "Elementi di FISICA Elettromagnetismo e onde" P. MAZZOLDI, M. NIGRO e C. VOCI II Edizione (ED. EDISES)  F. Giorgis’ notes Introduction to Quantum Mechanics and Structure of Matter:  Notes by F. Giorgis, C. Pirri and S. Ferrero 
Assessment and grading criteria
The exam include a written and an oral proof.
The written proof concerns with: a) multipleanswer quiz on the classical electromagnetism theory, b) questions on quantum mechanics theory, c) problems (either symbolic or numeric) referring to the main subjects of all the course. The maximum mark of the problems section is 15/30, that of the questions section is 15/30. The total scheduled time for the written exam is 2h 30min. The written proof is passed with a total score of at least 18/30. The oral proof lasts 2030 mins. and deals with all the subjects treated in lectures of Quantum Mechanics and Structure of Matter. The final mark is a weighted average of written/oral scores. 
Notes The course is held by two teachers, respectively responsible; (a) for the first part (one class) and the second part (Physical Engineering students) and (b) for the second part ( Electronic Engineering students). 
