Professor Manuel Drees

Lectures

WS 24/25:

Advanced Quantum Theory (physics606)

Time and Place : Monday, 12:15 to 14:00, and Wednesday, 12:15 to 13:00, both times HS 1, PI (i.e., in the big lecture hall inside the PI).

First Lecture: October 7, 2024.

Last Lecture: January 29, 2025.

Tutorials:
First session: In the second week of classes.
The homework problems can be found here, as well as on eCampus.
The figures shown on the projector during class can be found here.

The online material will (mostly) be provided via eCampus, so please register for this course on the eCampus system! (You need a login ID from our university for this end, which in turn you can get only after enrolling here.)

Only students who have done at least 50% of the homework of this class will be admitted to the final exam! The solution need not be perfected in order to be counted, but you must have made a serious attempt at least. Up to two people (but no more!) may sign one set of solutions. However, it is crucial that all students do in fact work on these problems themselves; otherwise the chance of passing the final exam is close to nil. Note also that you will be expected to present your solution to the other members in your tutorial group, at the request of the tutor.

First exam: Monday, February 10, 9:00 a.m. to 12:00 noon, Wolfgang Paul lecture hall.
Second exam: Thursday, March 27, 9:00 a.m. to 12:00 noon, Wolfgang Paul lecture hall.

The lecture is aimed at first year Master students, as well as advanced Bachelor students who have already taken the class on introductory quantum mechanics. Bonner Studierenden, die sich für Theorie interessieren, wird empfohlen, die AQT bereits im 5. Semester zu hören, sodass im 6. Semester die QFT1 belegt werden kann; dies erleichtert den Zugang zum Material der einführenden Theorie-Vorlesungen im Master Studium.

Outline:
1) Review of Quantum Mechanics
2) Transformations and Symmetries
3) Path integrals
4) Time dependent perturbation theory
5) Scattering theory
6) Second quantisation
7) Relativistic Quantum Mechanics

Literature:
Shankar, Principles of Quantum Mechanics , is a modern, single volume treatment, starting from the basics, with emphasis on the path integral formulation.
Schwabl, Advanced Quantum Mechanics, (auch auf Deutsch erhältlich) treats many-body systems and relativistic wave equations, but does not use the path integral. Time dependent perturbation theory and scattering theory are treated in the book Quantum Mechanics by the same author.
Volumes 3 and 4 of the series by Landau and Lifshitz give a very comprehensive treatment of the material, at a quite advanced level (but not using path integrals).
Schiff, Quantum Mechanics , is another, somewhat older, comprehensive treatment of the field, which however does not treat path integrals.
Relativistic Quantum Mechanics is also treated in the introductory chapters of many text books on quantum field theory.

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