Scheda programma d'esame
QUANTUM AND CONDENSED MATTER PHYSICS
GIUSEPPE CARLO LA ROCCA
CourseMATERIALS AND NANOTECHNOLOGY
Code259BB
Credits9
PeriodSemester 1
LanguageEnglish

ModulesAreaTypeHoursTeacher(s)
QUANTUM AND CONDENSED MATTER PHYSICSFIS/03LEZIONI72
 GIUSEPPE CARLO LA ROCCA unimap
Obiettivi di apprendimento
Learning outcomes
Conoscenze

Become familiar with the basic concepts of quantum mechanics and learn how to make use of the Schroedinger equation. Use these tools for an elementary microscopic description of the properties of atoms, molecules and solids.

Knowledge

Become familiar with the basic concepts of quantum mechanics and learn how to make use of the Schroedinger equation. Use these tools for an elementary microscopic description of the properties of atoms, molecules and solids.

Prerequisiti (conoscenze iniziali)

General physics and calculus.

Prerequisites

General physics and calculus.

Programma (contenuti dell'insegnamento)

1. Introduction to quantum mechanics

Waves and particles. Wave-particle duality and uncertainty principle. Wave function. Schroedinger equation and stationary states. Expectation values. Examples: potential well and harmonic oscillator. Transition probability and selection rules.

2. Atomic physics

First atomic models and their shortcomings. Hydrogen atom: energy spectrum, angular momentum and eigenfunctions. Electron spin. Pauli exclusion principle. Helium atom, singlet and triplet states. Many-electron atoms, periodic system of  elements. Atomic spectroscopy.

3.Molecular physics

The ionized hydrogen molecule. The hydrogen molecule. Homonuclear and heteronuclear diatomic molecules. Polyatomic molecules. Molecular vibrations. Molecular Spectroscopy.

4. Solid state physics

Structure of liquids, amorphous solids and crystals. X-ray diffraction. Types of crystals: molecular, ionic, covalent and metallic. Boltzmann distribution, equipartition of energy. Quantum statistics: bosons and fermions. Phonons and specific heat of solids. Free electron model of metals: electrical conductivity and specific heat. Bloch functions and electronic bands.

Syllabus

1. Introduction to quantum mechanics

Waves and particles. Wave-particle duality and uncertainty principle. Wave function. Schroedinger equation and stationary states. Expectation values. Examples: potential well and harmonic oscillator. Transition probability and selection rules.

2. Atomic physics

First atomic models and their shortcomings. Hydrogen atom: energy spectrum, angular momentum and eigenfunctions. Electron spin. Pauli exclusion principle. Helium atom, singlet and triplet states. Many-electron atoms, periodic system of  elements. Atomic spectroscopy.

3.Molecular physics

The ionized hydrogen molecule. The hydrogen molecule. Homonuclear and heteronuclear diatomic molecules. Polyatomic molecules. Molecular vibrations. Molecular Spectroscopy.

4.Solid state physics

Structure of liquids, amorphous solids and crystals. X-ray diffraction. Types of crystals: molecular, ionic, covalent and metallic. Boltzmann distribution, equipartition of energy. Quantum statistics: bosons and fermions. Phonons and specific heat of solids. Free electron model of metals: electrical conductivity and specific heat. Bloch functions and electronic bands.

Bibliografia e materiale didattico

hand-out notes

Alonso-Finn: “Fundamental university physics, vol. 3: quantum and statistical physics”

Landshoff-Metherell-Rees: “Essential Quantum Physics”, Cambridge

Kittel: “Introduction to Solid State Physics”, Wiley

Bibliography

hand-out notes

Alonso-Finn: “Fundamental university physics, vol. 3: quantum and statistical physics”

Landshoff-Metherell-Rees: “Essential Quantum Physics”, Cambridge

Kittel: “Introduction to Solid State Physics”, Wiley

Indicazioni per non frequentanti

Non-attending students info