Currently, I am a postdoc at the Mathematics Department of Tübingen from June 2018 - May 2019,
within the scope of a Marie Curie Global Individual Fellowship of the European Union,
hosted by Stefan Teufel
and Roderich Tumulka.
My main research topic are multi-time wave functions (quantum-mechanical wave functions with many space-time arguments),
in particular to consider integral equations as time evolution equations for these wave functions (see "Current Research Project").
I obtained my PhD in Mathematics at the University of Munich in Detlef Dürr's group,
my Master in Theoretical Physics at the University of Cambridge
and my Bachelor in Physics at the University of Göttingen.
AB Mathematische Physik
Auf der Morgenstelle 10
Room No.: C4 A45
Phone: +49 (0)7071 29 78696
Current Research Project
Marie Curie Action "Interacting Relativistic Quantum Dynamics via Multi-Time Integral Equations" (June 2016 - May 2019)
Multi-time wave functions
are quantum-mechanical wave functions with N space-time arguments for N particles.
They are needed in relativistic quantum mechanics to obtain a relativistic generalization of the Schrödinger picture, exchanging configuration 3-space with configuration space-time.
Because of the many time coordinates the structure of time evolution equations changes, and this has proven a major challenge for finding interacting evolution equations.
for a review.)
In this project, integral equations
shall be studied as a possible mechanism of interaction for multi-time wave functions. (One possibility for two electromagnetically interacting Dirac particles is shown in the photo at the top.)
In this case, the multi-time evolution equations take an action-at-a-distance form with fields extracted solely from the respective other particle's degrees of freedom.
This leads to the hope that one might thereby avoid the self-interaction problem in a similar way as in the Wheeler-Feynman formulation of classical electrodynamics
The main goals
- to prove the existence of solutions of multi-time integral equations,
- to classify the solution spaces (differently than by Cauchy data),
- to identify conserved quantities, currents and probability densities,
- to study the classical limit and compare it with Wheeler-Feynman-Electrodynamics.
This project has received funding from the European Union's Framework for Research and Innovation "Horizon 2020" (2014-2020) under the Marie Sklodowska-Curie Grant Agreement No. 705295.