# Algebra and Dynamics of Quantum Systems (Algebra und Dynamik von Quantensystemen)

## Winter term 2017/2018

#### News

The WueCampus course is now enabled. You can simply register there. The
first to register wins the COOKIE AWARD!

#### Preliminary Program

This lecture aims at students in the programs
Mathematical Physics
and in
Mathematics.
It may also be interesting for students in the master program
Physics.

If there are international students then the lecture can of course be
offered in *English*. Otherwise the lecture will be
in *German*. The lecture notes will be in English anyway. Please
get in contact with me early enough then we can discuss and arrange the
details.

The goal of this lecture is to understand the algebras of operators as
they occur in quantum mechanics and in quantum field theory models. The
important mathematical structure will be a
*C*^{*}-algebra. We will study such algebras in quite some
detail together with their representation theory.

Most probably there will be a RiG (research in groups) in the next
semester (summer term 2018) based on this course on some more advanced
topics in operator algebras.

#### Prerequisites

Some basic knowledge in quantum mechanics will be useful as motivation
but even without the course can be taken beneficially. I will assume some
familiarity with Banach and Hilbert space theory: here we can discuss
what the actual background is and I will adapt the lecture accordingly.

#### Literature

The list of textbooks is rather long,
there are many good texts on operator algebras. Many of the
references should be seen as background information. At the beginning of
the lecture I will point out some more details to particular texts.

#### Dates

#### Links

On WueCampus, there will be a
course
for this lecture. As soon as this is enabled, it will replace this homepage.

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