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01348nam a2200181Ia 4500 |
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10.1007-s11040-022-09424-7 |
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220425s2022 CNT 000 0 und d |
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|a 13850172 (ISSN)
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|a Bose–Einstein Condensation with Optimal Rate for Trapped Bosons in the Gross–Pitaevskii Regime
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|b Springer Science and Business Media B.V.
|c 2022
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|z View Fulltext in Publisher
|u https://doi.org/10.1007/s11040-022-09424-7
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|a We consider a Bose gas consisting of N particles in R3, trapped by an external field and interacting through a two-body potential with scattering length of order N- 1. We prove that low energy states exhibit complete Bose–Einstein condensation with optimal rate, generalizing previous work in Boccato et al. (Commun Math Phys 359(3):975–1026, 2018; 376:1311–1395, 2020), restricted to translation invariant systems. This extends recent results in Nam et al. (Preprint, 2001. arXiv:2001.04364), removing the smallness assumption on the size of the scattering length. © 2022, The Author(s), under exclusive licence to Springer Nature B.V.
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|a Bose-Einstein Condensation; Interacting Bosons
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|a Gross-Pitaevskii Regime
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|a Brennecke, C.
|e author
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|a Schlein, B.
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|a Schraven, S.
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|t Mathematical Physics Analysis and Geometry
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