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Prof. Dr. Sören Petrat
Mathematical Physics
School of Science
Constructor University Bremen gGmbH, Campus Ring 1, D-28759 Bremen (Germany)
Phone number
+49 421 200 3211
Fax number
+49 421 200 3103
Email Address
spetrat@constructor.university
Office
Research I, Room 112
Research Interests
My main working area is mathematical physics, in particular many-body quantum mechanics. More detailed research interests are:
- Quantum many-body systems
- Non-linear Schrödinger equation
- Derivation of effective dynamics
- Dynamics of Bose-Einstein condensates
- Hartree-Fock dynamics
- Spin wave theory
- Dynamics in the Heisenberg ferromagnet
- Relativistic quantum mechanics
- Wave functions on space-time configurations (multi-time wave functions)
Selected Publications
2024
- A Note on the Binding Energy for Bosons in the Mean-field Limit
L. Boßmann, N. Leopold, D. Mitrouskas, and S. Petrat
J. Stat. Phys., 191:48 (2024) [arXiv:2307.13115] - Asymptotic Analysis of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications
L. Boßmann, N. Leopold, D. Mitrouskas, and S. Petrat
In: A. Bassi, S. Goldstein, R. Tumulka, N. Zanghi (eds), Physics and the Nature of Reality. Fundamendal Theories of Physics, vol. 215. Springer, Cham (2024) [arXiv:2304.12910]
2023
- Ground State of Bose Gases Interacting through Singular Potentials
L. Boßmann, N. Leopold, S. Petrat, and S. Rademacher
Preprint (2023) [arXiv:2309.12233] - Weak Edgeworth expansion for the mean-field Bose gas
L. Boßmann and S. Petrat
Lett. Math. Phys., 113(4): 77 (2023) [arXiv:2208.00199] - Bogoliubov Dynamics and Higher-order Corrections for the Regularized Nelson Model
M. Falconi, N. Leopold, D. Mitrouskas, and S. Petrat
Rev. Math. Phys., 35(4): 2350006 (2023) [arXiv:2110.00458]
2021
- Dreadlock Pairs and Dynamic Partitions for Post-singularly Finite Entire Functions
D. Pfrang, S. Petrat, and D. Schleicher
Preprint (2021) [arXiv:2109.06863] - Beyond Bogoliubov Dynamics
L. Boßmann, S. Petrat, P. Pickl, and A. Soffer
Pure Appl. Anal., 3(4): 677-726 (2021) [arXiv:1912.11004] - Asymptotic Expansion of Low-energy Excitations for Weakly Interacting Bosons
L. Boßmann, S. Petrat, and R. Seiringer
Forum Math. Sigma, 9, e28 (2021) [arXiv:2006.09825]
2020
- Multi-Time Wave Functions - An Introduction
M. Lienert, S. Petrat, and R. Tumulka
SpringerBriefs in Physics, Springer Nature Switzerland (2020) - Derivation of the Bogoliubov Time Evolution for a Large Volume Mean-field Limit
S. Petrat, P. Pickl, and A. Soffer
Ann. Henri Poincaré, 21(2): 461-498 (2020) [arXiv:1711.01591]
CV
See my personal website http://math.constructor.university/petrat/ for a full list of publications and teaching activities.
[My papers on arXiv]
[My papers on ORCID]
[My papers on google scholar]