Department Mathematik
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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

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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.

My CV is available here.

Seminar

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

Publications

  1. Asymptotic analysis of the the weakly interacting Bose gas: A collection of recent results and applications
    Lea Boßmann, Nikolai Leopold, David Mitrouskas, Sören Petrat
    Preprint, arXiv:2208.00199

  2. Edgeworth expansion for the weakly interacting Bose gas
    Lea Boßmann, Sören Petrat
    Preprint, arXiv:2208.00199

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

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

  5. 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

  6. 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

  7. 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

  8. 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

  9. 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

  10. 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