Mathematical Physics I
This course will give an introduction into the basic mathematical
concepts used in quantum mechanics and quantum field theory. The
following topics will be discussed:
There exist notes.
They are, however, in German only.
- Basic notions of quantum mechanics
- Self-adjoint operators
- Extension of symmetric operators via quadratic forms (Friedrichs extension)
- Operator and Form Perturbations
- The Hydrogen Atom
- Stability of Non-Relativistic Multiparticle Systems
- Stability of Relativistic Multiparticle Systems
For the initial part the following books are of interest:
- Michael Reed and Barry Simon: Methods of modern mathematical
physics. I. Functional analysis. Second edition. Academic Press,
Inc., New York, 1980.
- Michael and Barry Simon: Methods of modern mathematical
physics. II. Fourier analysis, self-adjointness, New York-London,
- Elliott Lieb and Michael Loss: Analysis. Second
edition. Graduate Studies in Mathematics, 14. American
Mathematical Society, Providence, RI, 2001
Time and location: tuesdays and thursdays 2 p.m. to 4 p.m. in room E4
There will be exercises conducted by Dr. Walter Farkas.
Last modified: Tue Apr 23 16:19:36 MET DST 2002