Sören P Petrat
Seiringer Group
8 Publications
2024 | Journal Article | IST-REx-ID: 15318 | 
A note on the binding energy for Bosons in the mean-field limit
L. Bossmann, N.K. Leopold, D.J. Mitrouskas, S.P. Petrat, Journal of Statistical Physics 191 (2024).
[Published Version]
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| DOI
| arXiv
L. Bossmann, N.K. Leopold, D.J. Mitrouskas, S.P. Petrat, Journal of Statistical Physics 191 (2024).
2023 | Journal Article | IST-REx-ID: 12430 |
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).
[Preprint]
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| DOI
| Download Preprint (ext.)
| WoS
| arXiv
M. Falconi, N.K. Leopold, D.J. Mitrouskas, S.P. Petrat, Reviews in Mathematical Physics 35 (2023).
2023 | Journal Article | IST-REx-ID: 13226
Weak Edgeworth expansion for the mean-field Bose gas
L. Bossmann, S.P. Petrat, Letters in Mathematical Physics 113 (2023).
[Published Version]
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| DOI
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| arXiv
L. Bossmann, S.P. Petrat, Letters in Mathematical Physics 113 (2023).
2021 | Journal Article | IST-REx-ID: 9318 |
Asymptotic expansion of low-energy excitations for weakly interacting bosons
L. Bossmann, S.P. Petrat, R. Seiringer, Forum of Mathematics, Sigma 9 (2021).
[Published Version]
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L. Bossmann, S.P. Petrat, R. Seiringer, Forum of Mathematics, Sigma 9 (2021).
2021 | Journal Article | IST-REx-ID: 14890 |
Beyond Bogoliubov dynamics
L. Bossmann, S.P. Petrat, P. Pickl, A. Soffer, Pure and Applied Analysis 3 (2021) 677–726.
[Preprint]
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| DOI
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| arXiv
L. Bossmann, S.P. Petrat, P. Pickl, A. Soffer, Pure and Applied Analysis 3 (2021) 677–726.
2019 | Journal Article | IST-REx-ID: 6788 |
Mean-field dynamics for the Nelson model with fermions
N.K. Leopold, S.P. Petrat, Annales Henri Poincare 20 (2019) 3471–3508.
[Published Version]
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| DOI
| WoS
| arXiv
N.K. Leopold, S.P. Petrat, Annales Henri Poincare 20 (2019) 3471–3508.
2016 | Journal Article | IST-REx-ID: 1436 |
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.
[Published Version]
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V. Bach, S. Breteaux, S.P. Petrat, P. Pickl, T. Tzaneteas, Journal de Mathématiques Pures et Appliquées 105 (2016) 1–30.
2016 | Journal Article | IST-REx-ID: 1493 |
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).
[Published Version]
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| Files available
| DOI
S.P. Petrat, P. Pickl, Mathematical Physics, Analysis and Geometry 19 (2016).
8 Publications
2024 | Journal Article | IST-REx-ID: 15318 |
A note on the binding energy for Bosons in the mean-field limit
L. Bossmann, N.K. Leopold, D.J. Mitrouskas, S.P. Petrat, Journal of Statistical Physics 191 (2024).
[Published Version]
View
| Files available
| DOI
| arXiv
L. Bossmann, N.K. Leopold, D.J. Mitrouskas, S.P. Petrat, Journal of Statistical Physics 191 (2024).
2023 | Journal Article | IST-REx-ID: 12430 |
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).
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
M. Falconi, N.K. Leopold, D.J. Mitrouskas, S.P. Petrat, Reviews in Mathematical Physics 35 (2023).
2023 | Journal Article | IST-REx-ID: 13226
Weak Edgeworth expansion for the mean-field Bose gas
L. Bossmann, S.P. Petrat, Letters in Mathematical Physics 113 (2023).
[Published Version]
View
| DOI
| WoS
| arXiv
L. Bossmann, S.P. Petrat, Letters in Mathematical Physics 113 (2023).
2021 | Journal Article | IST-REx-ID: 9318 |
Asymptotic expansion of low-energy excitations for weakly interacting bosons
L. Bossmann, S.P. Petrat, R. Seiringer, Forum of Mathematics, Sigma 9 (2021).
[Published Version]
View
| Files available
| DOI
| WoS
L. Bossmann, S.P. Petrat, R. Seiringer, Forum of Mathematics, Sigma 9 (2021).
2021 | Journal Article | IST-REx-ID: 14890 |
Beyond Bogoliubov dynamics
L. Bossmann, S.P. Petrat, P. Pickl, A. Soffer, Pure and Applied Analysis 3 (2021) 677–726.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
L. Bossmann, S.P. Petrat, P. Pickl, A. Soffer, Pure and Applied Analysis 3 (2021) 677–726.
2019 | Journal Article | IST-REx-ID: 6788 |
Mean-field dynamics for the Nelson model with fermions
N.K. Leopold, S.P. Petrat, Annales Henri Poincare 20 (2019) 3471–3508.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
N.K. Leopold, S.P. Petrat, Annales Henri Poincare 20 (2019) 3471–3508.
2016 | Journal Article | IST-REx-ID: 1436 |
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.
[Published Version]
View
| Files available
| DOI
V. Bach, S. Breteaux, S.P. Petrat, P. Pickl, T. Tzaneteas, Journal de Mathématiques Pures et Appliquées 105 (2016) 1–30.
2016 | Journal Article | IST-REx-ID: 1493 |
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).
[Published Version]
View
| Files available
| DOI
S.P. Petrat, P. Pickl, Mathematical Physics, Analysis and Geometry 19 (2016).