Advanced quantum mechanics

Duration

30h Th

Number of credits

Lecturer

Thierry Bastin, John Martin, Peter Schlagheck

Coordinator

Peter Schlagheck

Language(s) of instruction

French language

Organisation and examination

Teaching in the first semester, review in January

Schedule

Schedule online

Units courses prerequisite and corequisite

Prerequisite or corequisite units are presented within each program

Learning unit contents

This course teaches advanced topics of quantum mechanics that are of particular relevance for complex systems and processes.
Specifically, we shall cover the following topics:
- time-dependent perturbation theory
- scattering theory
- geometric phase
- quantum measurement theory
- open quantum systems
- quantum many-body theory
- variational principle and Hartree-Fock method

Learning outcomes of the learning unit

Principal objectives of this course : - to continue and deepen the theoretical understanding of quantum mechanics - to understand how complex systems (e.g. involving several particles) and complex dynamical processes (e.g. scattering processes) are contained within the framework of quantum theory - to prepare for other, more specialized, masters courses on quantum physics, namely "Quantum optics", "Cold atoms and atomic clocks", and "Ultracold atoms and Bose-Einstein condensates"

Prerequisite knowledge and skills

Having followed the basic quantum mechanics course.

Planned learning activities and teaching methods

Mode of delivery (face to face, distance learning, hybrid learning)

The course will be given "ex cathedra", partially on the blackboard and partially by a beamer presentation.

Recommended or required readings

Recommended literature: - C. Cohen-Tannoudji, B. Diu, F. Laloë: "Mécanique quantique I" and "Mécanique quantique II" (Hermann, Paris, 1973) - A. Messiah: "Mécanique quantique 1" and "Mécanique quantique 2" (Dunod, Paris, 1995) - L. Landau et E. Lifchitz: "Mécanique quantique" (Mir, Moscou, 1966)

Any session :

- In-person

written exam ( open-ended questions ) AND oral exam

- Remote

written exam ( open-ended questions ) AND oral exam

- If evaluation in "hybrid"

preferred in-person


Additional information:

The evaluation will be done by an oral exam.

Work placement(s)

Organisational remarks and main changes to the course

Contacts

Peter Schlagheck Département de Physique Université de Liège IPNAS, building B15, office 0/125 Sart Tilman 4000 Liège Tél : 04 366 9043 Email : Peter.Schlagheck@uliege.be
John Martin Département de Physique Université de Liège IPNAS, building B15, office 0/106 Sart Tilman 4000 Liège Tél : 04 366 2864 Email : jmartin@uliege.be
Thierry Bastin Département de Physique Université de Liège IPNAS, building B15, office 0/123 Sart Tilman 4000 Liège Tél : 04 366 3693 Email : T.Bastin@uliege.be

Association of one or more MOOCs

Items online