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.
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.
exam
exam
basic understanding and elementary working knowledge
basic understanding and elementary working knowledge
exam
exam
motivation, attention, commitment
motivation, attention, commitment
participation to classes, exam
participation to classes, exam
General physics and calculus.
General physics and calculus.
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.
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.
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
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
please contact: giuseppe.larocca@sns.it
please contact: giuseppe.larocca@sns.it
oral exam
oral exam