M1: Advanced Quantum Mechanics


Lectures 09:00-11:30, Wednesdays. Location: Université de Paris,

Tutorials by Prof. Michael Joyce, 13:30-16:00, Thursdays. Location: Sorbonne Université.

Mid-term: After the fall break.

Final: No documents, no electronic devices allowed.

Useful References

[JJS] J. J. Sakurai, Modern Quantum Mechanics, Addison Wesley

[RS] R. Shankar, Principles of Quantum Mechanics, Kluwer academic

[MLB] M. Le Bellac, Quantum Physics, Cambridge UP

[CCT] C. Cohen-Tannoudji, B. Diu, and F. Laloë, Quantum Mechanics, vol 1 and 2, Wiley

Lecture 1 - 15/09

Chapter 1 States, measurements, information

A review of the founding postulates underpinning quantum mechanics and a discussion of some of their implications. Evolution operator, Heisenberg inequalities. Hamiltonian, Particle in a potential and solving an eigenvalue problem.

The material covered can found in [JJS], chapter 1, and in [MLB], chapter 4.

Lecture 2 - 22/09

Chapter 1 cont'd. Basics of information theory. Density matrix. Entanglement and how to quantify entanglement, tensor spaces.

The material covered can found in [MLB], chapter 6. It is interesting to read the original papers of EPR and of Aspect et al. (here and there).

Lecture 3

Chapter 2 Symmetries and conservation laws

Documents for the tutorials