Prof. Dr. Peter Pickl
Kontakt / Contact Information
Prof. Dr. Peter Pickl
Universität Tübingen
Fachbereich Mathematik
AB Mathematische Physik
Auf der Morgenstelle 10
72076 Tübingen
Raum: C4 A33
Tel: +49 (0)7071 29 78571
Fax: +49 (0)7071 29 5036
E-Mail: p.pickluni-tuebingen.de
Lehrveranstaltungen / Current Courses
- Lineare Algebra II
- Algebraische Strukturen
- Mathematikkurs Leibniz Kolleg "Chaos, Ordnung und Zufall in der Natur"
- OS Mathematische Physik
Forschungsinteressen und Projekte / Research Interests and Projekts
A very old and yet timely and active field of research is the justification of macroscopic effective descriptions emerging from microscopic dynamics of many particles. Famous examples for classical systems are the Boltzmann equation and Vlasov equations of various types; for quantum systems the Hartree, or Hartree Fock as well as the Gross Pitaevskii equation. Our main focus is on mean field descriptions of classical and quantum systems employing the new alpha-method for proving mean field results. In addition to the justification of the effective description we are also interested in describing physical effects in the mean field situation, for example Cherenkov radiation of fast particles entering a Bose-Einstein condensate. Our research is also directed towards a better understanding of the quantum field vacuum in QED, where we try to understand its effective action and behaviour as it emerges from its mathematically equivalent description of the so called Dirac sea. One focus is here on experimentally controllable effects like adiabatic pair creation and annihilation which can be described with mathematical rigor.
In a new research project, funded by DFG, we work on a microscopic explanation of the error of time. The goals is to find a system where, while the microscopic dynamics is reversible, one gets irreversible behaviour of most macro states. The idea is to construct a system which does not have a normalizable invariant measure, thus no equlilibrium state that is ergodic on an increasing sequence of subsets of phase-space.
Abschlussarbeiten
Sollten Sie Interesse an einer Bachelorarbeit, Masterarbeit oder Promotion haben, bitte kontaktieren Sie mich per Email. Ich vergebe gerne Arbeiten insbesondere zur Mathematischen Physik. Gerade was Bachelorarbeiten betrifft kann unter Absprache auch ein Thema aus einem anderen mathematischen Bereich behandelt werden.
Derzeitige Doktoranden: Sahand Tokasi, Aaron Schaal, Umut Özcan, Manuela Feistl, Kajetan Söhnen, Andrej Nikonov, Serj Aristharkov.
Ehemalige Doktoranden: Sören Petrat, David Mitrouskas, Maximilian Jeblick, Nikolai Leopold, Johannes Nissen-Mayer, Ana Canizares-Garcia, Phillip Grass.