Lecture: Advanced Quantum Mechanics (MSc)
Lecturer: David Gross. Time and venue: Tuesdays 8.15am, Wednesdays 12pm, HS III.
Announcements
Here are the final grades for the second exam.
Points ≥ Grade Points ≥ Grade 31 1,0 19 3,0 29 1,3 17 3,3 27 1,7 15 3,7 25 2,0 13 4,0 23 2,3 0 5,0 21 2,7 - Here are the final grades for the first exam.
- Here is a mock exam, which hopefully gives a reasonable feeling as to what to expect from the real exam.
- 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.
Recommended reading
- Sakurai: Modern Quantum Mechanics
- Ballentine: Quantum Mechanics
- Strocchi: Elements of Quantum Mechanics of Infinite Systems
- Cohen-Tannoudji et al: Quantum Mechanics I & II
- More will be added