Prof. Dr. Lea Boßmann

LB

Professorship for Mathematics (Analysis)

Professors

Address

Cauerstraße 11 91058 Erlangen

Contact


Office: 02.385

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

  • 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

Ground state of Bose gases interacting through singular potentials
Lea Boßmann, Nikolai Leopold, Sören Petrat, Simone Rademacher
J. Funct. Anal. 290, 4( 2026), arxiv:2309.12233

Focusing dynamics of 2D Bose gases in the instability regime
Lea Boßmann, Charlotte Dietze, Phan Thành Nam
Anal. PDE 19, 2 (2026), arXiv:2307.00956

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)

Winter term 2026/27

Summer term 2026

Winter term 2025/26

Summer term 2025

Winter term 2024/25

PhD student

  • Lukas Reichmann, since October 2025

Master thesis

  • Marwin Schard. Mathematische Quantenmechanik – Eine Einführung für Physikstudierende. 2026

Bachelor thesis

  • Melanie Zecho. Die kubische NLS am Beispiel von Monsterwellen. 2026