Scientific co-operation project Austria-Czech Republic 2017 - 2018
Dirac and magnetic Schrödinger operators with singular interactions
The project CZ 02/2017 is a cooperation of the institute of applied mathematics of the TU Graz and the Nuclear Physics Institute of the Academy of Sciences of the Czech Republic. It is funded by the Austrian Agency for International Cooperation in Education and Research (OeAD-GmbH) and the Ministry of Education, Youth and Sports of the Czech Republic.
Project Team
Austrian Team
Univ.-Prof. Dr. Jussi Behrndt (supervision) Dipl. Ing. Markus Holzmann Dipl. Ing. Peter Schlosser Simon Stadler
Czech Team
Prof. Dr. Pavel Exner (supervision) Doc. Mgr. Diana Barseghyan, Ph.D. Dr. Vladimir Lotoreichik
Motivation and project description
Partial differential operators with δ-interactions are often used as idealized models to study approximately differential operators with strongly localized coefficients - an idea which was successfully applied to Schrödinger operators with electric, but without magnetic fields. This approach will be used for the investigation of Dirac operators, that describe the motion of a charged particle in relativistic quantum mechanics taking spin into account, and Schrödinger operators with an additional homogeneous magnetic field.
Project goals
Investigation of Dirac operators with electric δ-interactions supported on surfaces Analysis of magnetic Schrödinger operators with electric δ-interactions supported on curves
Visits in 2017
Markus Holzmann, Rez, 19 February - 24 February Pavel Exner, Graz, 23 April - 28 April Vladimir Lotoreichik, Graz, 23 April - 6 May Peter Schlosser, Rez, 23 October - 5 November Jussi Behrndt, Rez, 26 October - 3 November Markus Holzmann, Rez, 29 October- 3 November Diana Barseghyan, Graz, 10 December - 18 December
Related publications
Related events
There is an initial workshop in the week 24 April - 28 April.