Oberseminar Mathematische Physik

Jointly with Johannes Alt, Margherita Disertori, 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: 

• June 2, 2025: Nikolai Leopold (Constructor University, Bremen)
  
  Derivation of the Maxwell–Schrödinger and Vlasov–Maxwell Equations from Non-Relativistic QED

  This talk explores how Maxwell’s equations arise as an effective description of non-relativistic QED. In the first part, I will discuss the scaling regimes in which the quantized electro- magnetic field is expected to behave classically. The second part focuses on the spinless Pauli–Fierz Hamiltonian in a semiclassical mean-field limit with many fermions. I will present recent results showing that, in the trace norm topology of reduced density matrices and in the large-particle-number limit, the system’s dynamics can be approximated by a fermionic variant of the Maxwell–Schr ̈odinger equations as well as by the non-relativistic Vlasov–Maxwell system for extended charges. This talk is based on the preprints arXiv:2411.07085 and arXiv:2308.16074, the latter being a joint work with Chiara Saffirio.