Dr. Lea BoßmannMathematisches Institut der Universität München Email: bossmann@math.lmu.de Tel: +49 (0)89 2180 4681 |
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I am an MCQST Distinguished Postdoc in the group of Phan Thà nh 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
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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 -
Edgeworth expansion for the weakly interacting Bose gas
Lea Boßmann, Sören Petrat
Preprint, 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
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Effective dynamics of interacting bosons: Quasi-low-dimensional gases and higher order corrections to the mean-field description
Eberhard Karls Universität Tübingen (2019)