Institute of Science and Technology Austria

Am Campus 1

3400 Klosterneuburg

Austria

Email: nikolai.leopold@ist.ac.at

Office: I21.O3.103 (Lab Building West, 3rd floor)

Since November 2017 I am a postdoc in the group of Robert Seiringer at the Institute of Science and Technology Austria.

My field of research is mathematical physics. In particular, I am working on the derivation of effective evolution equations from many-body quantum mechanics.
While my main focus is on quantum systems of bosons and fermions which couple to quantized radiation fields, I also study the evolution of Bose-Einstein condensates in the Gross-Pitaevskii regime.

Moreover, I am interested in the theoretical description of arrival time measurements in quantum mechanics.

**The Landau-Pekar equations: Adiabatic theorem and accuracy**

N. Leopold, S. Rademacher, B. Schlein and R. Seiringer,

(Preprint 2019) arXiv:1904.12532**Theory of the Rotating Polaron: Spectrum and Self-Localization**

E. Yakaboylu, B. Midya, A. Deuchert, N. Leopold and M. Lemeshko,

Physical Review B**98**, 224506 (2018),

DOI: 10.1103/PhysRevB.98.224506, arXiv:1809.01204**Mean-field Dynamics for the Nelson Model with Fermions**

N. Leopold and S. Petrat,

Annales Henri Poincaré, 20(10), 3471-3508 (2019),

DOI: 10.1007/s00023-019-00828-w, arXiv:1807.06781**Mean-field limits of particles in interaction with quantized radiation fields**

N. Leopold and P. Pickl,

Springer Proceedings in Mathematics & Statistics: Macroscopic Limits of Quantum Systems (2018),

DOI: 10.1007/978-3-030-01602-9, arXiv:1806.10843**Derivation of the Maxwell-Schrödinger Equations from the Pauli-Fierz Hamiltonian**

N. Leopold and P. Pickl,

(Preprint 2016) arXiv:1609.01545**Derivation of the Time Dependent Gross-Pitaevskii Equation in Two Dimensions**

M. Jeblick, N. Leopold and P. Pickl,

Accepted for publication in Commun. Math. Phys. (2019),

(Preprint 2016) arXiv:1608.05326 [math-ph]

**Effective dynamics for the Nelson model with many fermions**

N. Leopold,

contribution to the Mini-Workshop report "Lorentz Gas Dynamics: particle systems and scaling limits" (2019),

DOI: 10.4171/OWR/2019/10**Derivation of the Maxwell-Schrödinger Equations from the Pauli-Fierz Hamiltonian**

N. Leopold,

contribution to the Workshop report "Mathematical Questions and Challenges in Quantum Electrodynamics and its Applications" (2018),

DOI: 10.4171/OWR/2017/41

Effective Evolution Equations from Quantum Mechanics for the

**Dr. rer. nat. in Mathematics**

supervised by Peter PicklHypersurface Bohm models for Photons for the

**M.Sc. in Theoretical and Mathematical Physics**

supervised by Detlef Dürr*Position observable for the photon*for the**B.Sc. in Physics**

supervised by Detlef Dürr

- 07/2018: Mean-field Dynamics for the Nelson model with Fermions,

YRS at the ICMP 2018 Montreal - 09/2017: Derivation of the Maxwell-Schrödinger Equations from the Pauli-Fierz Hamiltonian,

YRS at the conference Mathematical Questions and Challenges in QED and its Applications, Oberwolfach - 07/2017: Mean-field limits of particles in interaction with quantized radiation fields,

LMU Munich - 05/2017: Derivation of the Maxwell-Schrödinger Equations from the Pauli-Fierz Hamiltonian,

University of Stuttgart - 06/2016: Quantum effects in arrival time measurements,

LMU Munich - 11/2013: Hypersurface Bohm models for Photons,

LMU Munich (Master Thesis Defense)