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)

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]

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]