The prerequisite(s) for this Teaching Unit (Unité d’enseignement – UE) for the programmes/courses that offer this Teaching Unit are specified at the end of this sheet.
At the end of this learning unit, the student is able to :
a. Contribution of the teaching unit to the learning outcomes of the programme
1.1, 1.3, 1.4, 2.1, 3.1, 3.2, 3.3, 3.4, 3.5, 3.6
b. Specific learning outcomes of the teaching unit
At the end of teaching unit, the student will be able able to:
1. solve alone physical problems whose solutions are not known in advance ;
2. choose and use adequate mathematical methods to solve these problems ;
3. correctly perform the analytical calculations that come with the mathematical methods.
The contribution of this Teaching Unit to the development and command of the skills and learning outcomes of the programme(s) can be accessed at the end of this sheet, in the section entitled “Programmes/courses offering this Teaching Unit”.
Lectures will start from the following tree:
' Particle in a central potential
' Formalism of Quantum Mechanics
' Angular momentum
' The hydrogen atom
' Adding angular momentum
' Time-independent perturbation theory
' Fine an hyperfine structure of the hydrogen atom
' Time-dependent perturbation theory
' Quantum dynamics
' Introduction to path integral
On the one hand, the traditional lectures aim at introducing, in a clear and rigorous way, the concepts that support the foundations of quantum mechanics. Illustrations will be provided in a guided learning way in order to initiate students to the cognitive reasoning of the physicist. The introduction of mathematical models, as well as the ways to solve them, will be presented in a explicit, interactive and pedestrian manner on the black board.
Exercise sessions, on the other hand, aim at the cognitive training of the students to solve a completely new problem in quantum mechanics. Problems are given one week in advance and the students are expected to work alone on these questions before showing up in class. The class itself consists in the pedestrian presentation of the solution, either by the teacher, or by the students themselves, in an inverted class.
- « Mécanique Quantique I et II », Messiah
- « Understanding Quantum Mechanics », Omnès.
- « Quantum Mechanics », Landau, Lifshitz
- « Quantum Mechanics », Brandsen, Joachain
- « Speakable and Unspeakable in Quantum Mechanics », Bell.