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Dr. Nikolai Leopold

Assistent/ PostDoc (FG Saffirio)

Spiegelgasse 1
4051 Basel

Phone: +41 61 207 55 69

Since November 2019 I am postdoc in the group of Chiara Saffirio at the University of Basel. Before that, I spent two years in the group of Robert Seiringer at the Institute of Science and Technology Austria. I obtained my Ph.D. in mathematics at the LMU Munich under the supervision of Peter Pickl.

My field of research is mathematical physics. In particular, I am applying tools from functional analysis and partial differential equations to study the properties of effective evolution equations and to derive them from many-body quantum mechanics. Moreover, I am interested in the theoretical description of arrival time measurements in quantum mechanics.


Publications, accepted to peer-reviewed journals:

8. Landau-Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron,
Leopold, N., Mitrouskas, D., Rademacher, S., Schlein, B. and Seiringer, R., acceped for publication in Pure and Applied Analysis, arXiv:2005.02098.

7. Derivation of the Landau-Pekar equations in a many-body mean-field limit,
Leopold, N., Mitrouskas, D. and Seiringer, R., Archive for Rational Mechanics and Analysis 240, 383–417 (2021), arXiv:2001.03993.

6. The Landau-Pekar equations: Adiabatic theorem and accuracy,
Leopold, N., Rademacher, S., Schlein, B. and Seiringer, R., Analysis & PDE (in press), arXiv:1904.12532. 

5. Theory of the Rotating Polaron: Spectrum and Self-Localization,
Yakaboylu, E., Midya, B., Deuchert, A., Leopold, N. and Lemeshko, M., Physical Review B  98, 224506 (2019), DOI: 10.1103/PhysRevB.98.224506, arXiv:1809.01204.

4. Mean-Field Dynamics for the Nelson Model with Fermions,
Leopold, N. and Petrat, S., Ann. Henri Poincaré  20, 3471–3508, DOI: 10.1007/s00023-019-00828-w, arXiv:1807.06781.

3. Mean-field limits of particles in interaction with quantized radiation fields
Leopold, N. and Pickl, P., in: Cadamuro D., Duell M., Dybalski W., Simonella S. (eds) Macroscopic Limits of Quantum Systems, MaLiQS 2017, Springer Proceedings in Mathematics & Statistics 270, Springer, Cham, DOI: 10.1007/978-3-030-01602-9, arXiv:1806.10843.

2. Derivation of the Maxwell-Schrödinger Equations from the Pauli-Fierz Hamiltonian
Leopold, N. and Pickl, P., SIAM J. Math. Anal. 52(5), 4900{4936 (2020), DOI: 10.1137/19M1307639, arXiv:1609.01545.

1. Derivation of the Time Dependent Gross-Pitaevskii Equation in Two Dimensions
Jeblick, M., Leopold, N. and Pickl, P., Comm. Math. Phys.  372, 1–69 (2019), DOI: 10.1007/s00220-019-03599-x, arXiv:1608.05326.


Contributions to Oberwolfach Reports:

10. Effective dynamics for the Nelson model with many fermions,
contribution to the mini-workshop report "Lorentz Gas Dynamics: particle systems and scaling limits" (2019), DOI: 10.4171/OWR/2019/10

9. Derivation of the Maxwell-Schrödinger Equations from the Pauli-Fierz Hamiltonian
contribution to the workshop report "Mathematical Questions and Challenges in Quantum Electrodynamics and its Applications" (2017), DOI: 10.4171/OWR/2017/41.