5.00 credits
30.0 h + 30.0 h
Q1
Teacher(s)
Language
French
Main themes
Quantum physics : nonrelativistic 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 grandcanonical), and quantum fluids (fermions and bosons)
Statistical physics : basic notions, the kinetic theory of gases, the different statistical ensembles (microcanonical, canonical and grandcanonical), and quantum fluids (fermions and bosons)
Learning outcomes
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. Tightbinding 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. GrandCanonical 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. Tightbinding 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. GrandCanonical Ensemble
2.6. Quantum Fluids
Teaching methods
Ex cathedra lectures and exercice sessions.
Evaluation methods
The students are evaluated individually, in a written examination, on the basis of the abovementioned 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). The statistical and quantum parts have the same weight. Concerning quantum fluids, a tasting session is organized.
Online resources
Faculty or entity