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Department of Physics www.up.ac.za/physics
Mathematical Physics
Research Activities Research activities of this group can be outlined as follows : ♦ Quantum dynamical systems: Mathematical structure and ergodic theory in an operator algebraic framework.
♦ Quantum spaces: Measure theory, topology and geometry in the quantum realm via operator algebras.
Group Leader Dr. Rocco Duvenhage Office: 5-48 Natural Sciences Building I Tel: 012 420 2790 E-mail: [email protected]
Group Members
Group Members in the Department of Mathematics and Applied Mathematics
Collaboration ♦ International collaboration
♦ Department of Mathematics, University of Rome “Tor Vergata”, Rome, Italy.
Recent Publications R. Duvenhage: “Ergodicity and mixing of W*-dynamical systems in terms of joinings” (2010) “Free joinings of C*-dynamical systems” (2010) “Bergelson's theorem for weakly mixing C*-dynamical sys-tems” (2009) “Joinings of W*-dynamical systems” (2008) ”A mean ergodic theorem for actions of amenable quantum groups” (2008) “Evolution integrals” (2008) C. Beyers, R. Duvenhage, A. Ströh: “The Szemerédi property in ergodic W*-dynamical systems” (2010)
Mauritz van den Worm
Funding
♦ NRF ♦ NITheP
Prof. Anton Ströh
Danie van Wyk
Research Projects ♦ Joinings and subsystems of W*-dynamical systems. ♦ Free joinings of C*-dynamical systems. ♦ Mixing and recurrence properties of quantum dynamical systems.
♦ Ergodic theorems. ♦ Honours, MSc and PhD projects:
♦ Field theory and string theory on quantum spaces. ♦ The operator algebraic formulation of quantum physics. ♦ Noncommutative ergodic theory and quantum statistical mechanics.
♦ Quantum groups and their actions.
What interests and experience do you need? Background required up to Hons level: ♦ Quantum mechanics and statistical physics. ♦ Undergraduate mathematics courses in Analysis and Abstract Algebra.
In addition, a strong background in, or willingness to study, the following mathematical topics: Functional Analysis, Topology, Measure Theory, and Operator Algebras.
Kyle Oerder