PD Dr. Erich Walter Farkas
Lecture in Summer Term 2004
Spectral Theory for Unbounded Operators
Lectures: Wed. 14-18, room E39, each two weeks
Starting date: 21. April 2004.
The other lectures: 5. Mai, 19. Mai, 2. June, 16. June, 30. June.
Last lecture Thu. 15. July, 12-14, room E40
Motivation:
This lecture can be regarded as a second part of the lecture
Functional Analysis
(from the previous semester).
Moreover, our intention is to complement with backgroud material the lecture
"Mathematical Methods in
Physics: Quantum Mechanics"
Content: The following topics will be covered:
- Unbounded Operators
- The energy space, Friedrichs' extension
- Spectra of self adjoint operators
- Spectral families and spectral operators
- Fundamental theorem of the spectral theory
- Operators with a pure point spectrum
If requested, an exercise session can be organized.
Literature: M. Reed, B. Simon: Methods of Modern Mathematical Physics, Vol I:
Functional Analysis;
Vol II:
Fourier Analysis, Self-Adjointness;
Orlando, Academic Press, 1980.
For: Students in the International Master Program;
Students of mathematics and physics after the fifth semester.
Prerequisites:
A first course in functional analysis is welcome, but not mandatory.
Introductory courses in analysis and linear algebra.
Certificate (Schein): 1/2 - Gilt für Diplomhauptprüfung (AM);
Hauptprüfung für das Lehramt an Gymnasien.
Office hours:
PD Dr. E.W. Farkas: appointment should be arranged after the lectures
Please send comments and suggestions to
Walter Farkas,
email: farkas@math.ethz.ch.
Last modified: Fri Jul 2 09:29:50 CEST 2004