| dc.contributor.author | Boßmann, Lea | |
| dc.contributor.author | Leopold, Nikolai | |
| dc.contributor.author | Petrat, Sören | |
| dc.contributor.author | Rademacher, Simone | |
| dc.date.accessioned | 2023-11-27T08:52:24Z | |
| dc.date.available | 2023-11-27T08:52:24Z | |
| dc.date.issued | 2023-11-27 | |
| dc.identifier.uri | http://publications.mfo.de/handle/mfo/4087 | |
| dc.description.abstract | We consider a system of $N$ bosons on the three-dimensional unit torus. The particles interact through repulsive pair interactions of the form $N^{3β-1} v (N^βx)$ for $β\in (0,1)$. We prove the next order correction to Bogoliubov theory for the ground state and the ground state energy. | en_US |
| dc.description.sponsorship | It is a pleasure to thank Chiara Boccato, Robert Seiringer, Christian Hainzl, Alessandro Olgiati and Phan Th`anh Nam for helpful discussions. We are very grateful to the Oberwolfach Research Institute for Mathematics for their hospitality during a Research in Pairs fellowship, where the first part of this project was completed. L.B. was supported by the German Research Foundation within the Munich Center of Quantum Science and Technology (EXC 2111). N.L. acknowledges funding from the Swiss National Science Foundation through the NCCR SwissMap and support from the European Union’s Horizon 2020 research and innovation programme under the Marie Sk lodowska-Curie grant agreement No. 101024712. S.P. acknowledges funding by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) - project number 512258249. | en_US |
| dc.language.iso | en_US | en_US |
| dc.publisher | Mathematisches Forschungsinstitut Oberwolfach | en_US |
| dc.relation.ispartofseries | Oberwolfach Preprints;2023-18 | |
| dc.title | Ground State of Bose Gases Interacting through Singular Potentials | en_US |
| dc.type | Preprint | en_US |
| dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | de |
| dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | en |
| dc.identifier.doi | 10.14760/OWP-2023-18 | |
| local.scientificprogram | OWRF 2022 | |
| local.series.id | OWP-2023-18 | en_US |
| dc.identifier.urn | urn:nbn:de:101:1-2024032009404170288356 | |
| dc.identifier.ppn | 1876773383 | |
