Due to the COVID-19 crisis, the information below is subject to change,
in particular that concerning the teaching mode (presential, distance or in a comodal or hybrid format).
5 credits
30.0 h + 30.0 h
Q1
Teacher(s)
Charlier Jean-Christophe; Gonze Xavier (coordinator); Piraux Luc; Rignanese Gian-Marco;
Language
French
Main themes
Quantum physics : non-relativistic quantum mechanics postulates ; measure theory ; hydrogen atom ; polyelectronic atoms ; harmonic oscillator ; spin ; variational principle (Ritz) ; formation of the chemical bonds.
Statistical physics : basic notions, the kinetic theory of gases, the different statistical ensembles (microcanonical, canonical and grand-canonical), and quantum fluids (fermions and bosons)
Statistical physics : basic notions, the kinetic theory of gases, the different statistical ensembles (microcanonical, canonical and grand-canonical), and quantum fluids (fermions and bosons)
Aims
At the end of this learning unit, the student is able to : | |
| 1 |
Contribution of the course to the program objectives Axis Nº1 :1.1 Specific learning outcomes of the course At the end of their classes, the students are expected to be able:
|
Content
1 Quantum physics
1.1. Introduction/Reminders
1.2. Postulates
1.3. Operators
1.4. Measure theory (including Heisenberg uncertainty principle)
1.5. Hydrogen atom
1.6. Polyelectronic atoms
1.7. Matrix mechanics
1.8. Harmonic oscillator (creation and annihilation operators)
1.9. Spin
1.10. Variational principle
1.11. Tight-binding method (understanding of the electronic structure and cohesion of diatomic molecules)
2 Statistical Physics
2.1. Introduction: Elements of Statistical Physics
2.2. Kinetic Theory of Gases and , and billiard game theory
2.3. Microcanonical Ensemble
2.4. Canonical Ensemble
2.5. Grand-Canonical Ensemble
2.6. Quantum Fluids
1.1. Introduction/Reminders
1.2. Postulates
1.3. Operators
1.4. Measure theory (including Heisenberg uncertainty principle)
1.5. Hydrogen atom
1.6. Polyelectronic atoms
1.7. Matrix mechanics
1.8. Harmonic oscillator (creation and annihilation operators)
1.9. Spin
1.10. Variational principle
1.11. Tight-binding method (understanding of the electronic structure and cohesion of diatomic molecules)
2 Statistical Physics
2.1. Introduction: Elements of Statistical Physics
2.2. Kinetic Theory of Gases and , and billiard game theory
2.3. Microcanonical Ensemble
2.4. Canonical Ensemble
2.5. Grand-Canonical Ensemble
2.6. Quantum Fluids
Teaching methods
Due to the COVID-19 crisis, the information in this section is particularly likely to change.
Ex cathedra lectures and exercice sessions. Due to the limited capacity of auditoria this year (COVID-19 crisis), some classes or exercices could be given remotey or co-modally.
Evaluation methods
Due to the COVID-19 crisis, the information in this section is particularly likely to change.
The students are evaluated individually, in a written examination, on the basis of the above-mentioned learning outcomes (questions will focus on their knowledge, their understanding, their ability to apply the concepts explained during the lecture, the latter being developed during the exercise sessions). Due to the COVID-19 crisis, the assessment might be done at a distance. Teachers reserve the right to assess orally in case of suspicion of fraud during the written exam, with appropriate modification of the grading grid. Concerning quantum fluids, a tasting session is organized.
Online resources
Faculty or entity
FYKI
