Advanced Quantum Mechanics (MSc)

Lecture: Advanced Quantum Mechanics (MSc)

Lecturer: David Gross. Time and venue: Tuesdays 8.15am, Wednesdays 12pm, HS III.

Announcements

The first exam is scheduled on 04th Aug 2026, from 08:00 to 11:00, in HSI (and HSII). Please register for the exam on Klips until 28th July 2026. Those of you who are unable to register through Klips (e.g., because you are in your Bachelors and/or are from Uni Bonn) please write to ldmello(at)smail.uni-koeln(dot)de with your full name and matrikel number on or before 28th July 2026. Note that the names submitted to ldmello(at)smail.uni-koeln(dot)de will be forwarded to the examination office only if the exam qualifications are met.
Change of location for group 2 on July 23rd : Seminar room of the IKP.
For organizational requests, please write to maede.rezaie(at)gmail(dot)com and ldmello(at)smail.uni-koeln(dot)de.

Resources

A Slack channel is set up. Please join with your Uni email.
The lecture is primarily meant to be attended in person. While we will publish video recordings on a “best effort basis” via the Uni's OpenCast system on the course's Ilias page, I won't put much effort into editing and cutting these videos.
Evolving lecture notes (subject to change – don't print!).

Course description

This lecture covers more advanced aspects of quantum mechanics. Topics include:

Multi-partite quantum systems
- Mixed states and their danymics
- Dynamics of coupled systems
- Quantum many-body systems as computers
- Bell inequalities and their implications
Indistinguishable particles
- Bosonic and Fermionic Hilbert spaces
- Second quantization
- The Bose gas, superfluidity, and spontaneous symmetry breaking
Quantum theory of light
Relativistic quantum mechanics
Scattering theory

Exercise classes

The idea is that you should register for an exercise class via Klips.

First tutorials will take place on Thursday, the 23rd of April.

All exercise classes will take place on Thursdays.

Group	When	Where	Tutor
1	10:00 to 11:30	ETP 0.02	Christian Gorjaew
2	12:00 to 13:30	Seminarraum Theorie 215	Leonard Kaufhold
3	14:00 to 15:30	Seminarraum PH1	Jiaxin Qiao
4	14:00 to 15:30	ETP 0.01	Haoyang Tian
5	16:00 to 17:30	Seminarraum PH1	Rohit Kantipudi

Exercise Sheets

The exercises can be handed in by groups of at most (and ideally, exactly) three people.
The sheets are to be submitted via ILIAS on the page of your respective exercise group.

Sheet 1.
Sheet 2.
Sheet 3.
Sheet 4. (typo in question 3 page 3 fixed)
Sheet 5.
Sheet 6.
Sheet 7.
Sheet 8.
Sheet 9.
Sheet 10.
Sheet 11.
Sheet 12.
Sheet 13.

Exam

For admission to the exam, one has to have gathered at lest 50% of the points from the exercise sheets.

Quicklinks