Prof. Dr. Lea Boßmann

Prof. Dr. Lea Boßmann

Department of Mathematics
Chair of Analysis

Room: Raum 02.385
Cauerstraße 11
91058 Erlangen

Research interests

My field of research is Mathematical Physics, with a focus on the analysis of quantum many-body systems. The main goal of my research is the mathematical derivation of effective descriptions for complex many-body systems. In particular, I am interested in

  • interacting Bose gases
  • effective evolution equations
  • singular interactions
  • mean-field limits
  • perturbation theory
  • nonlinear Schrödinger equation
  • dimensional reduction in the limit of many particles
  • stochastic perspective on interacting quantum many-body systems
  • foundations of quantum mechanics
  • ferromagnetic Heisenberg model

Scientific career

  • since  2024: Professor for Analysis, FAU
  • 2024: Junior professor for Analysis, JGU Mainz
  • 2022-2024: Postdoc, LMU Munich und MCQST
  • 2019-2022: Postdoc, IST Austria
  • 2016-2019: Promotion, University of Tübingen
  • 2010-2016: Studies of Physics and Theoretical and Mathematical Physics, LMU Munich

 

Events

Emergent Phenomena in Many-Body Quantum Systems, 8.-12. Dezember 2025, CIRM, Marseille

 

Teaching

Summer term 2025

Winter term 2024/25

 

Publications and Preprints

Ground state of Bose gases interacting through singular potentials
Lea Boßmann, Nikolai Leopold, Sören Petrat, Simone Rademacher
arxiv:2309.12233

Focusing dynamics of 2D Bose gases in the instability regime
Lea Boßmann, Charlotte Dietze, Phan Thành Nam
arXiv:2307.00956, to appear in Analysis & PDE

A note on the binding energy for bosons in the mean-field limit
Lea Boßmann, Nikolai Leopold, David Mitrouskas, Sören Petrat
J. Stat. Phys. 191, 48 (2024), arxiv:2307.13115

Asymptotic analysis of the the weakly interacting Bose gas: A collection of recent results and applications
Lea Boßmann, Nikolai Leopold, David Mitrouskas, Sören Petrat
Physics and the Nature of Reality: Essays in Memory of Detlef Dürr (2024), arXiv:2208.00199

Weak Edgeworth expansion for the mean-field Bose gas
Lea Boßmann, Sören Petrat
Lett. Math. Phys. 113, 77 (2023), arXiv:2208.00199

Low-energy spectrum and dynamics of the weakly interacting Bose gas
Lea Boßmann
J. Math. Phys. 63:061102 (2022), arXiv:2208.00199

Beyond Bogoliubov dynamics
Lea Boßmann, Sören Petrat, Peter Pickl, Avy Soffer
Pure Appl. Anal. 3(4):677-726 (2021), arXiv:1912.11004

Asymptotic expansion of low-energy excitations for weakly interacting bosons
Lea Boßmann, Sören Petrat, Robert Seiringer
Forum Math. Sigma 9:e28 (2021), arXiv:2006.09825

Derivation of the 2d Gross–Pitaevskii equation for strongly confined 3d bosons
Lea Boßmann
Arch. Ration. Mech. Anal. 238(2):541-606 (2020), arXiv:1907.04547

Higher order corrections to the mean-field description of the dynamics of interacting bosons
Lea Boßmann, Nataša Pavlović, Peter Pickl, Avy Soffer
J. Stat. Phys. 178(6):1362-1396 (2020), arXiv:1905.06164

Derivation of the 2d Gross–Pitaevskii equation from the 3d quantum many-body dynamics of strongly confined bosons
Lea Boßmann, Stefan Teufel
Ann. Henri Poincare 20(3):1003-1049 (2019), arXiv:1803.11026

Derivation of the 1d nonlinear Schrödinger equation from the 3d quantum many-body dynamics of strongly confined bosons
Lea Boßmann
J.Math. Phys. 60:031902 (2019), arXiv:1803.11011

On the dipole approximation with error estimates
Lea Boßmann, Robert Grummt, Martin Kolb
Lett. Math. Phys. 108(1):185-193 (2018), arXiv:1309.1655

PhD thesis: Effective dynamics of interacting bosons: Quasi-low-dimensional gases and higher order corrections to the mean-field description
Eberhard Karls Universität Tübingen (2019)