Weak Edgeworth expansion for the mean-field Bose gas
L. Bossmann, S.P. Petrat, Letters in Mathematical Physics 113 (2023).

Bogoliubov dynamics and higher-order corrections for the regularized Nelson model
M. Falconi, N.K. Leopold, D.J. Mitrouskas, S.P. Petrat, Reviews in Mathematical Physics 35 (2023).

Asymptotic expansion of low-energy excitations for weakly interacting bosons
L. Bossmann, S.P. Petrat, R. Seiringer, Forum of Mathematics, Sigma 9 (2021).

Beyond Bogoliubov dynamics
L. Bossmann, S.P. Petrat, P. Pickl, A. Soffer, Pure and Applied Analysis 3 (2021) 677–726.

Mean-field dynamics for the Nelson model with fermions
N.K. Leopold, S.P. Petrat, Annales Henri Poincare 20 (2019) 3471–3508.

A new method and a new scaling for deriving fermionic mean-field dynamics
S.P. Petrat, P. Pickl, Mathematical Physics, Analysis and Geometry 19 (2016).

Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction
V. Bach, S. Breteaux, S.P. Petrat, P. Pickl, T. Tzaneteas, Journal de Mathématiques Pures et Appliquées 105 (2016) 1–30.