Learning outcomes of the course unit
Applying knowledge and understanding of 1) the phenomena which brought to the classical electromagnetism crisis, 2) the simplest formalisms of quantum-mechanics, 3) their application to systems of relevance to electronic and telecommunication engineering, 4) the electrons behaviour in solids, and 5) the derived technological applications.
Ability to apply the knowledge and understanding of the above issues related to simple, but basic systems 1) to the study of electronic devices, 2) to extend them to more complex systems which will be encountered by the engineer in view of new technological developments, and 3) to understand and use properly and profitably the results offered by the experimental techniques for material characterization.
Mathematics. General Physics.
Course contents summary
Introduction to modern physics topics and their applications, including a) the experiments which brought to the quanta theory, b) the quantum-and wave-mechanical approach. The quantum-mechanics is applied to simple systems, but of relevance to understand the microscopic mechanisms which 1) determine the properties of materials and 2) originate the experimental investigation techniques of specific interest for electronic and telecommunication engineering.
A. Experiments which brought to the quanta theory (about 16 hours)
Gas discharge. Compton and photoelectric effects. Atomic and X-ray spectra. Stern-Gerlach experiment. X-ray and particle diffraction experiments. Electron microscope (SEM and TEM). Blackbody emission.
B. Quantum Mechanical approach to simple systems (about 26 hours)
Uncertainty, correspondence, and complementarity principles. Vibrating string equation. Eigenfunctions and eigenvalues. Quantum mechanics postulates.
Free particle in a box: Schrödinger equation. Energy levels. Probability density. Application to free electrons in metals, quantum wells, colour centres.
Harmonic oscillator: Schrödinger equation. Energy levels. Probability density. Application to vibrational spectra of heteronuclear molecules and lattice vibrations in solids. Anharmonicity.
Hydrogen and hydrogenoid atoms: Schrödinger equation. Energy levels. Probability density. Rigid rotor, as simplified case. Application to rotational spectra of heteronuclear molecules.
Potential wall and tunnel effect. Tunnel junctions. Tunnel microscope (STM).
Energy bands in crystalline solids. Kronig-Penney model. Classification of solids according to band theory. Electron dynamics. Effective mass. Fermi-Dirac statistics. Electrical conductivity. Photonic crystals. Optical properties of semiconductors and insulators.
Eisberg R., Resnick R. Quantum Physics of Atoms, Molecules, Solids and Nuclei, John Wiley ed. (New York), 1985.
Halliday D., Resnick R., Walker J. Fondamenti di Fisica: Fisica Moderna, V edizione, Casa Editrice Ambrosiana, Milano (in italian), 2002
Capelletti R., Fisica Atomica, Notes of the course (in italian), 2016.
Lectures integrated by a limited number (2-3 hours) of exercises presented by the teacher to clarify some mathematical issues.
Assessment methods and criteria
The test is verbal.
The student is required to expose in concise, but comprehensive way, the program subject proposed by every question. The presentation should prove that the student has assimilated the related basic concepts and is able to present them in autonomous, clear, and correct manner. The recitation of the argument learned by heart in uncritical way is not admitted. As a rule two subjects are proposed to the student, each of them related to one of the two main topics of the program (A and B items of the extended program, respectively).
The Power Point presentation of the lectures of the whole course will be available to students (on demand to the teacher) at the beginning of the course.