Sören Petrat
Constructor University Bremen
(formerly: Jacobs University Bremen)
School of Science
Campus Ring 1
28759 Bremen
Germany
Email: spetrat AT constructor.university
PGP public key
Office: Research I, room 112
Phone: +49 421 200 3211
[My papers on arXiv]
[My papers on ORCID]
[My papers on google scholar]
All Papers and Preprints
2024
- Expansion of the Many-body Quantum Gibbs State of the Bose-Hubbard Model on a Finite Graph
Z. Ammari, S. Farhat, and S. Petrat
Preprint (2024) [arXiv:2405.04055] - 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]
2019
- Mean-field Dynamics for the Nelson Model with Fermions
N. Leopold and S. Petrat
Ann. Henri Poincaré, 20(10): 3471-3508 (2019) [arXiv:1807.06781] - Bogoliubov Corrections and Trace Norm Convergence for the Hartree Dynamics
D. Mitrouskas, S. Petrat, and P. Pickl
Rev. Math. Phys., 31(8): 1950024 (2019) [arXiv:1609.06264]
2017
- Multi-Time Wave Functions versus Multiple Timelike Dimensions
M. Lienert, S. Petrat, and R. Tumulka
Found. Phys., 47(12): 1582-1590 (2017) [arXiv:1708.03376] - Multi-Time Wave Functions
M. Lienert, S. Petrat, and R. Tumulka
J. Phys. Conf. Ser., 880(1): 012006 (2017) [arXiv:1702.05282] - Free Time Evolution of a Tracer Particle Coupled to a Fermi Gas in the High-density Limit
M. Jeblick, D. Mitrouskas, S. Petrat, and P. Pickl
Commun. Math. Phys., 356(1): 143-187 (2017) [arXiv:1611.02759] - Hartree Corrections in a Mean-field Limit for Fermions with Coulomb Interaction
S. Petrat
J. Phys. A: Math. Theor., 50(24): 244004 (2017) [arXiv:1609.04754]
2016
- Kinetic Energy Estimates for the Accuracy of the Time-Dependent Hartree-Fock Approximation with Coulomb Interaction
V. Bach, S. Breteaux, S. Petrat, P. Pickl, and T. Tzaneteas
J. Math. Pures Appl., 105(1): 1-30 (2016) [arXiv:1403.1488] - A New Method and a New Scaling For Deriving Fermionic Mean-field Dynamics
S. Petrat and P. Pickl
Math. Phys. Anal. Geom., 19(1) (2016) [arXiv:1409.0480]
2014
- Effective Dynamics of a Tracer Particle in a Dense Homogeneous Quantum Gas
M. Jeblick, D. Mitrouskas, S. Petrat, and P. Pickl
Preprint (2014) [arXiv:1402.1696] - Multi-Time Formulation of Pair Creation
S. Petrat and R. Tumulka
J. Phys. A: Math. Theor., 47(11): 112001 (2014) [arXiv:1401.6093] - Multi-Time Equations, Classical and Quantum
S. Petrat and R. Tumulka
Proc. R. Soc. A, 470(2164): 20130632 (2014) [arXiv:1309.1103] - Multi-Time Wave Functions for Quantum Field Theory
S. Petrat and R. Tumulka
Ann. Phys., 345: 17-54 (2014) [arXiv:1309.0802] - Multi-Time Schrödinger Equations Cannot Contain Interaction Potentials
S. Petrat and R. Tumulka
J. Math. Phys., 55(3): 032302 (2014) [arXiv:1308.1065]