I am working in the field of mathematical physics. My research focuses on the analysis of quantum many-body systems, in particular on the behaviour of dilute Bose gases.
My CV is available here.
I am currently on parental leave until October 2024.
Teaching Winter Semester 2024/25
I will be teaching the course Mathematical Quantum Mechanics.
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
Publications
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)