Oberseminar Mathematische Physik

Jointly with Johannes Alt, Margherita Disertori, Luca Fresta, Illia Karabash and Eveliina Peltola, I am organizing the mathematical physics seminar which takes place a few times per semester. The seminar takes place on Mondays from 2.15 - 3.15 pm in seminar room SemR 0.011 (Endenicher Allee 60). 

Next Talk: 

• April 14, 2025: Prof. Niels Benedikter (University of Milan)
  
  Bosonization of the Interacting Fermi Gas and its Momentum Distribution

  A wide variety of physical systems, from metals over semiconductors to superconductors, can all be described by the Schrödinger equation for a fermionic quantum many-body system. However, their macroscopically observable properties fall into distinct classes with widely varying behavior. Bosonization provides a tool to analyze the properties of interacting fermionic quantum systems beyond the precision of mean-field theories like Hartree-Fock theory. We show that in certain scaling limits, bosonization becomes a rigorously controllable approximation. In particular I discuss the application of bosonization to the analysis of the momentum distribution, which is the natural quantity to distinguish the most important universality classes of macroscopic behavior.