65405: 
Mathematical
Structures in Physics

Lecturer: 
Christoph Schweigert

Contents: 
1. Lagrangian theories
2. Electrodynamics
3. Hamiltonian theories
4. Quantum mechanics
5. A first glimpse on quantum field theory

Aim: 
Models of theoretical physics have been a prolific source for
mathematical structures over the last four centuries.
We introduce the mathematical structures underlying classical mechanics,
electrodynamics and quantum mechanics and explain how they describe
realworld phenomena.
For more informaion refer to:
http://www.math.unihamburg.de/home/schweigert/ws11/strukturen.html

Prerequisites: 
A general mathematical background is assumed only: basic classes in
analysis and linear algebra; the notion of a manifold and basic
related notions are helpful. You are are not expected to have physics
as a minor subject.
Interpretations of mathematical structures in
physical theories will be explained in the lecture. The lecture
addresses mathematics students who want to know what mathematical structures
describe real world phenomena like a planet orbiting around the sun,
the movement of a solid body like a top or the hydrogen atom.
These lectures address students of mathematics, physics and mathematical
physics, both from the master programs as well as
interested advanced undergraduate students.


Please book your time with Ms. Doerhoefer at
astrid.doerhoefer@unihamburg.de
or 040/4 28 385171 for Wedndesday, Februrary 29 in the morning
or for Thursday, March 29, in the morning.

Literature: 
Will be given in the lectures.

Lecture notes: 
available as a
pdf file. Disclaimer: some parts are in a
very preliminary shape.

Problem sheets: 
Sheet 1:
problems and
hints.
Sheet 2:
problems and
hints.
Sheet 3:
problems and
hints.
Sheet 4:
problems and
hints.
Sheet 5:
problems and
hints.

Time and Place: 
Lectures:
Monday and Thursday, 10:2511:55,
Monday in Geom H5, Thursday in Geom H3.
Tutorials: Monday, 12:3014:00, in Geom 432.


Introduction to QFT for mathematicians
by
Katarzyna Rejzner
Schedule:
Mo, February 6, 14:0015:30,
Di, February 7, 14:0015:30,
Do, February 9, 11:3013:00 and
Fr, February 10, 14:0015:30.
Lecture course
Differential Topology by Konrad Waldorf
in the summer term.
Seminar Mathematical Aspects of Theoretical Physics
with topics from quantum field theory by
Klaus Fredenhagen

