Ludwig-Maximilians-Universität München

Mathematical Institute

Theresienstr. 39

80333 Munich

Tel. +49 89 2180 4457

r.frank[at]lmu.de

Group Webpage### Description

**Research focus: mathematical physics, mathematical analysis, spectral theory**

Research in our group focuses on mathematical physics, mathematical analysis and spectral theory. Our goal is to solve theoretical problems from quantum physics using and developing new rigorous tools from mathematical analysis. This includes typically determining a concrete parameter regime in which a certain approximation is valid and giving quantitative error bounds.

More concretely, we have worked, among others, on the following topics:

- Superconductivity: rigorous derivation of Ginzburg–Landau theory from BCS theory;
- Atomic physics: validity and properties of density functional theories, stability of matter, in particular, in the presence of relativistic effects;
- Polarons: formation of multi-polarons, time evolution of a strongly coupled polaron, magnetopolarons;
- Quantum information theory: application of matrix analysis to derive properties of entropy measures.