Frank Group

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

Prof. Rupert L. Frank



LMU Munich

Department of Mathematics

Address:Theresienstr. 39

80333 München



Office: 329

Phone: +49 (0)89 2180-4457

Fax: +49 (0)89 2180-4438

E-mail: r.frank (at)  


group webpage