Scheda insegnamento

Teacher Renato Colle

Credits 6

SSD INGIND/23

Teaching Mode Traditional lectures

Language Italian

Course Timetable from Feb 22, 2018 to Jun 07, 2018
Academic Year 2017/2018
Learning outcomes
At the end of the course, the student knows basic concepts,
mathematical structure and computational methods of quantum
mechanics, necessary for the theoretical study of atoms, molecules
and solid state systems. Moreover, the student learns to use quantum
mechanics for studying electronic properties of atoms, molecules and crystals, rotovibrational properties of molecules, and the use of simple models for the electronic transport in nanoelectronic devices.
Course contents
Prerequisites: knowledges of classical physics, differential and integral calculus, linear algebra and general chemistry, given by the triennium courses, are requested. It is useful to have also elementary knowledges of Hamiltonian formalism and Maxwell electromagnetism.
Suggestion: it is useful to follow also the Couse of Solid State Physical Chemistry.
Program:
 BASIC QUANTUM MECHANICS: Postulates and fundamental concepts  Measurements of observables  Mathematical formalism  Symmetry and angular momenta  Matrix quantum mechanics  Wave mechanics in position and momentum representations  Timeindependent Schroedinger equation  Time evolution of quantum states: timedependent Schroedinger equation.
 QUANTUMMECHANICAL METHODS: variational methods: HartreeFock, Configuration Interaction, Density Functional Theory  Perturbative Methods.
 MOLECULAR QUANTUM MECHANICS: BornOppenheimer approximation  Molecular Orbital Theory  Valence Bond Theory  Calculation of electronic energies and stationary states of atoms and molecules  Calculation of rotovibrational energies and states of molecules.
 ELEMENTS OF SOLID STATE PHYSICS: Geometrical description of crystals: simple and composite lattices, Bravais lattices; primitive and unitary cells, WignerSeitz cells. Reciprocal lattices: definitions and basic properties; planes and directions in Bravais lattices; Brillouin zones. Translational symmetry in quantummechanical: Bloch theorem and electronic wavefunctions, bands and density of states; cyclic boundary conditions.
 ELECTRONIC TRANSPORT IN NANODEVICES: Modelling of a nanoscale transistor  An atomistic view of the electrical resistence  Energy levels diagram  Flow of electrons and rate equations  Current in onelevel channel  The quantum of conductance. The quantum theory of transport developed in the Course will be tested using a software for buiding/simulating electronic nanodevices.
Readings/Bibliography
Attendance at lectures is very useful, the use of lecture notes and other material provided by the
teacher is also very useful. For further investigation of the lecture items, the following books are suggested:
 J.J. Sakurai, Modern Quantum Mechanics, ed. Wiley.
 G.Grosso and G.Pastori Parravicini, Solid State Physics, ed. Academic Press.
 S.Datta, Quantum Transport. Atom to Transistors, ed. Cambridge.
Teaching methods
The course is organized in frontal lectures, where basic concepts,
fundamental principles and mathematical techniques of quantum
mechanics and solid state physics are presented and explained
together with elements of quantum theory of charge transport. After
the theoretical explanation of each subject, lections will be
devoted to the solution of exercises and specific problems
involving prototype atomic, molecular and solid state systems, and
simple models of nanoelectronic devices. This procedure aims to aid
the student in acquiring the ability to convert a physical problem
into a theoreticalcomputational procedure able to give
quantitative results.
Assessment methods
The learning assessment realizes through periodic exercises and a
final test, that verifies the achievement of the following teaching
targets:
 knowledge of basic concepts, mathematical structure and
computational methods of quantum mechanics and solid state
physics;
 ability of using the acquired theoretical tools to formulate and
solve simple problems concerning atomic, molecular, and solid state
systems. The final exam is oral, and based on questions on the main items of the Course.
Teaching tools
Lecture notes and other didactic material are made available in
electronic format. Attending also to the Solid State Physical Chemistry Course is suggested.
Office hours
See the website of Renato Colle