( in italiano )

Fundamentals of quantum physics ( 6 CFU ) Objectives

Introduction to modern physics topics and applications of interest in the electronic engineering field, including a) the experiments which brought to the quanta theory introduction, b) the quantum-and wave-mechanical approach.

Program

Quantum Mechanical approach to simple systems

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.

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. Insulators, metals, and semiconductors. Electron dynamics. Effective mass. Fermi-Dirac statistics. Electrical conductivity. Optical properties of semiconductors, insulators, and photonic crystals.

Electromagnetic radiation and matter interaction. Selection rules. Lasers.

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.

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. Insulators, metals, and semiconductors. Electron dynamics. Effective mass. Fermi-Dirac statistics. Electrical conductivity. Optical properties of semiconductors, insulators, and photonic crystals.

Electromagnetic radiation and matter interaction. Selection rules. Lasers.

Examination methods

Verbal test.

Prerequisites

Mathematics. General Physics.

Suggested textbooks

Eisberg R., Resnick R. Quantum Physics of Atoms, Molecules, Solids and Nuclei, John Wiley ed. (New York), 1985.

Kittel C., Introduction to Solid State Physics, VI edition , John Wiley ed. (New York), 1986.

Capelletti R., Fisica Generale III, Notes of the course (in italian), Santa Croce ed. (Parma), 1997

Capelletti R., Fisica Moderna, Notes of the course (in italian), 2003.

Kittel C., Introduction to Solid State Physics, VI edition , John Wiley ed. (New York), 1986.

Capelletti R., Fisica Generale III, Notes of the course (in italian), Santa Croce ed. (Parma), 1997

Capelletti R., Fisica Moderna, Notes of the course (in italian), 2003.