Research interests
We combine methods from different areas of analysis, including the calculus of variations, the theory of partial differential equations, and spectral theory, to develop rigorous mathematical descriptions of problems arising in quantum physics. Current research topics include scaling limits of quantum systems, effective theories for many-body systems, and semiclassical analysis.
We are currently involved in the following research project:
DFG Network „Appearance of the effective mass in polaron systems“ joint organisation with Benjamin Hinrichs, University Paderborn, 2026–2029.
Information on the research interests and publications of each team member is available on their personal webpages.
Publications of the Chair
Peer reviewed publications
- L. Portinale, S. Rademacher, D. Virosztek.Limit theorems for empirical measures of interacting quantum systems in Wasserstein space, Advances in Mathematics 495, (2026)
- L. Boßmann, N. Leopold, S. Petrat, S. Rademacher, Ground state of Bose gases interacting through singular potentials, Journal of Functional Analysis, 290 (4), (2026)
- N. Behrmann, C. Brennecke, S. Rademacher, Exponential Control of Excitations for Trapped BEC in the Gross-Pitaevskii Regime, Letters in Mathematical Physics, 115 (91) (2025)
- S. Rademacher,Generating function for quantum depletion of Bose-Einstein condensates, Journal of Statistical Physics 192, 108 (2025)
- M. Lemm, S. Rademacher,Out-of-time-ordered correlators of mean-field bosons via Bogoliubov theory, QUANTUM vol. 9, p. 1587 (2025)
- P.T. Nam, S. Rademacher, Exponential bounds of the condensation for dilute Bose gases, Transactions of the American Mathematical Society (in Press)
- S. Rademacher,Large deviations for the ground state of weakly interacting bosons,Annales Henri Poincaré, (2024)
- S. Rademacher, Traveling waves and the effective mass for the regularized Landau-Pekar equations, Calculus of Variations and Partial Differential Equations 63 (121), (2024)
- S. Rademacher,Dependent random variables in quantum dynamics, Journal of Mathematical Physics 63 (8), (2022)
- S. Rademacher, R. Seiringer, Large deviation estimates for weakly interacting bosons, Journal of Statistical Physics volume 188 (9), (2022)
- D. Feliciangeli, S. Rademacher, R. Seiringer, The effective mass problem for the Landau-Pekar equations, Journal of Physics A: Mathematical and Theoretical 55, 015201 (2022)
- K. Kirkpatrick, S. Rademacher, B. Schlein,A large deviation principle for many–body quantum dynamics, Annales Henri Poincaré, 22, 2595-2618 (2021)
- D. Feliciangeli, S. Rademacher, R. Seiringer,Persistence of the spectral gap for the Landau–Pekar equations, Letters in Mathematical Physics, 111 (19), (2021)
- N. Leopold, D. Mitrouskas, S. Rademacher, B. Schlein, R. Seiringer, Landau-Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron (PDF), Pure and Applied Analysis 3–4, 653–676 (2021)
- S. Rademacher, Central limit theorem for Bose gases interacting through singular potentials, Letters in Mathematical Physics, 110,2143- 2174 (2020)
- N. Leopold, S. Rademacher, B. Schlein, R. Seiringer,The Landau–Pekar equations: Adiabatic theorem and accuracy (PDF), Analysis & PDE, 14,2079- 2100 (2021)
- S. Rademacher, B. Schlein,Central limit theorem for Bose–Einstein condensates, Journal of Mathematical Physics, 60 (7), 071902 (2019)
- E. Dietler, S. Rademacher, B. Schlein,From Hartree dynamics to the relativistic Vlasov equation, Journal of Statistical Physics, 172 (2), p. 1345-1364, (2018)
- M. Porta, S. Rademacher, C. Saffirio, B. Schlein,Mean field evolution of fermions with Coulomb interaction, Journal of Statistical Physics, 166 (6), 1345-1364 (2017)
- S. Rademacher, H. Siedentop,Accumulation rate of bound states of dipoles in graphene, Journal of Mathematical Physics, 57, 042105 (2016)
Preprints
- M.G. Ginzburg, S. Rademacher, G.De Palma,Exponential concentration of fluctuations in mean-field boson dynamics, arXiv:2602.16658
- M.G. Ginzburg, S. Rademacher, G.De Palma, Failure of the mean-field Hartree approximation for a bosonic many-body system with non-Hermitian Hamiltonian, arXiv:2601.13038
- P.T. Nam, S. Rademacher, A. Soffer, Dispersive estimates and long-time validity for Bogoliubov dynamics of interacting Bose gases, arXiv:2511.12748
- M. Lemm, S. Rademacher, On Bose-Einstein condensates in disordered media, , J. Zhang, arXiv:2511.08925
- M. Lemm, S. Rademacher, J. Zhang,Local enhancement of the mean-field approximation for bosons, arXiv:2412.13868
Books
- Jan Maas, Simone Rademacher, Tamás Titkos, Dániel Virosztek, eds, Optimal Transport on Quantum Structures, Vol 29. Cham Springer Nature (2024).