Dr. Lea Boßmann Mathematisches Institut der Universität München Theresienstr. 39 D-80333 München Email: bossmann@math.lmu.de Tel:   +49 (0)89   2180 4681 Fax:  +49 (0)89   2180 4466 Büro: Block B, 3. Stock, 332 Arbeitsgruppe Analysis, Mathematische Physik und Numerik

I am an MCQST Distinguished Postdoc in the group of Phan Thành Nam 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.

Teaching Winter semester 2023/24

I am teaching the course Mathematik I (Naturwissenschaften). Please register for the course in Moodle (Einschreibeschlüssel: Gauss2023).

Seminar

Together with Emilio Onorati and Simone Rademacher, I organize the LMU-TUM Junior Researcher Seminar.

Publications

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


2. A note on the binding energy for bosons in the mean-field limit
   Lea Boßmann, Nikolai Leopold, David Mitrouskas, Sören Petrat
   Preprint, arxiv:2307.13115


3. Focusing dynamics of 2D Bose gases in the instability regime
   Lea Boßmann, Charlotte Dietze, Phan Thành Nam
   Preprint, arXiv:2307.00956


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


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


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


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


8. 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


9. 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


10. 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


11. 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


12. 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


13. 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)