Weak coupling limit of the full Pauli-Fierz Hamiltonian
Oberseminar Darmstadt
Date: 26.03.2026
Time: 16:15–17:45 h
We study the weak coupling limit (WCL) of the Pauli–Fierz Hamiltonian describing a nonrelativistic particle interacting with a quantized bosonic field. In a mathematically rigorous framework, we derive an effective Hamiltonian and prove convergence of the renormalized Hamiltonian to this limit, including the asymptotic behavior of the effective mass, using operator-theoretic methods and Feynman–Kac formulas.
Speaker
- Fumio Hiroshima, Kyushu University, Japan
Place
- TU Darmstadt S2|15 Raum 401
- Schlossgartenstr. 7, 64289 Darmstadt
Organizers
- Technische Universität Darmstadt
Fachbereich Mathematik - Stochastik
Schlossgartenstraße 7
64289 Darmstadt
Telefon: +49 6151 16-23380
Telefax: +49 6151 16-23381
info(at)stochastik-rhein-mainde
Organizing partners
Goethe-Universität Frankfurt am Main, Johannes Gutenberg-Universität Mainz, Justus-Liebig-Universität Gießen