Brennecke, Christian; Schlein, Benjamin; Schraven, Severin Bogoliubov theory for trapped bosons in the Gross-Pitaevskii regime. (English) Zbl 1489.82046 Ann. Henri Poincaré 23, No. 5, 1583-1658 (2022). MSC: 82C10 82C22 81V73 35Q55 PDFBibTeX XMLCite \textit{C. Brennecke} et al., Ann. Henri Poincaré 23, No. 5, 1583--1658 (2022; Zbl 1489.82046) Full Text: DOI arXiv
Brennecke, Christian; Phan Thành Nam; Napiórkowski, Marcin; Schlein, Benjamin Fluctuations of \(N\)-particle quantum dynamics around the nonlinear Schrödinger equation. (English) Zbl 1419.81042 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 5, 1201-1235 (2019). MSC: 81V70 35Q55 82C22 82C26 81R15 37K10 35Q53 PDFBibTeX XMLCite \textit{C. Brennecke} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 5, 1201--1235 (2019; Zbl 1419.81042) Full Text: DOI arXiv
Brennecke, Christian; Schlein, Benjamin Gross-Pitaevskii dynamics for Bose-Einstein condensates. (English) Zbl 1414.35184 Anal. PDE 12, No. 6, 1513-1596 (2019). MSC: 35Q40 81V70 PDFBibTeX XMLCite \textit{C. Brennecke} and \textit{B. Schlein}, Anal. PDE 12, No. 6, 1513--1596 (2019; Zbl 1414.35184) Full Text: DOI arXiv
Boccato, Chiara; Brennecke, Christian; Cenatiempo, Serena; Schlein, Benjamin Complete Bose-Einstein condensation in the Gross-Pitaevskii regime. (English) Zbl 1391.82004 Commun. Math. Phys. 359, No. 3, 975-1026 (2018). MSC: 82B10 82D05 PDFBibTeX XMLCite \textit{C. Boccato} et al., Commun. Math. Phys. 359, No. 3, 975--1026 (2018; Zbl 1391.82004) Full Text: DOI arXiv
Schlein, Benjamin Derivation of effective evolution equations from many-body quantum mechanics. (English) Zbl 1393.82010 Riv. Mat. Univ. Parma (N.S.) 8, No. 1, 83-108 (2017). MSC: 82C10 35Q40 35Q55 81V70 PDFBibTeX XMLCite \textit{B. Schlein}, Riv. Mat. Univ. Parma (N.S.) 8, No. 1, 83--108 (2017; Zbl 1393.82010)
Benedikter, Niels; De Oliveira, Gustavo; Schlein, Benjamin Quantitative derivation of the Gross-Pitaevskii equation. (English) Zbl 1320.35318 Commun. Pure Appl. Math. 68, No. 8, 1399-1482 (2015). MSC: 35Q55 81V70 35Q41 82C10 81S05 PDFBibTeX XMLCite \textit{N. Benedikter} et al., Commun. Pure Appl. Math. 68, No. 8, 1399--1482 (2015; Zbl 1320.35318) Full Text: DOI arXiv Link
Schlein, B. Quantum dynamics, coherent states and Bogoliubov transformations. (English) Zbl 1302.81096 Jensen, Arne (ed.), XVIIth international congress on mathematical physics, Aalborg, Denmark, August 6–11, 2012. Hackensack, NJ: World Scientific (ISBN 978-981-4449-23-6/hbk; 978-981-4449-25-0/ebook). 197-216 (2014). MSC: 81Q05 81V70 81R30 PDFBibTeX XMLCite \textit{B. Schlein}, in: XVIIth international congress on mathematical physics, Aalborg, Denmark, August 6--11, 2012. Hackensack, NJ: World Scientific. 197--216 (2014; Zbl 1302.81096) Full Text: DOI arXiv
Schlein, Benjamin Derivation of effective evolution equations from microscopic quantum dynamics. (English) Zbl 1298.35203 Ellwood, David (ed.) et al., Evolution equations. Proceedings of the Clay Mathematics Institute summer school, ETH, Zürich, Switzerland, June 23–July 18, 2008. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-0-8218-6861-4/pbk). Clay Mathematics Proceedings 17, 511-572 (2013). MSC: 35Q55 81Q15 81T18 81V70 35Q40 PDFBibTeX XMLCite \textit{B. Schlein}, Clay Math. Proc. 17, 511--572 (2013; Zbl 1298.35203) Full Text: arXiv
Hainzl, Christian; Schlein, Benjamin Dynamics of Bose-Einstein condensates of fermion pairs in the low density limit of BCS theory. (English) Zbl 1282.35367 J. Funct. Anal. 265, No. 3, 399-423 (2013). MSC: 35Q56 81V70 82D55 PDFBibTeX XMLCite \textit{C. Hainzl} and \textit{B. Schlein}, J. Funct. Anal. 265, No. 3, 399--423 (2013; Zbl 1282.35367) Full Text: DOI arXiv
Schlein, Benjamin Derivation of effective evolution equations from many body quantum dynamics. (English) Zbl 1205.82043 Exner, Pavel (ed.), XVIth international congress on mathematical physics, Prague, Czech Republic, August 3–8, 2009. With DVD. Hackensack, NJ: World Scientific (ISBN 978-981-4304-62-7/hbk). 406-416 (2010). MSC: 82B10 35Q41 81V70 PDFBibTeX XMLCite \textit{B. Schlein}, in: XVIth international congress on mathematical physics, Prague, Czech Republic, August 3--8, 2009. With DVD. Hackensack, NJ: World Scientific. 406--416 (2010; Zbl 1205.82043) Full Text: arXiv
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate. (English) Zbl 1204.82028 Ann. Math. (2) 172, No. 1, 291-370 (2010). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C22 35Q55 82C26 81Q05 81V70 81T18 PDFBibTeX XMLCite \textit{L. Erdős} et al., Ann. Math. (2) 172, No. 1, 291--370 (2010; Zbl 1204.82028) Full Text: DOI arXiv
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential. (English) Zbl 1207.82031 J. Am. Math. Soc. 22, No. 4, 1099-1156 (2009). Reviewer: Dominik Strzałka (Rzeszów) MSC: 82C10 35Q55 PDFBibTeX XMLCite \textit{L. Erdős} et al., J. Am. Math. Soc. 22, No. 4, 1099--1156 (2009; Zbl 1207.82031) Full Text: DOI arXiv
Erdős, László; Michelangeli, Alessandro; Schlein, Benjamin Dynamical formation of correlations in a Bose-Einstein condensate. (English) Zbl 1169.82010 Commun. Math. Phys. 289, No. 3, 1171-1210 (2009). MSC: 82C10 81V70 81Q05 PDFBibTeX XMLCite \textit{L. Erdős} et al., Commun. Math. Phys. 289, No. 3, 1171--1210 (2009; Zbl 1169.82010) Full Text: DOI arXiv
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer Derivation of the Gross-Pitaevskii hierarchy for the dynamics of Bose-Einstein condensate. (English) Zbl 1122.82018 Commun. Pure Appl. Math. 59, No. 12, 1659-1741 (2006). Reviewer: Oleg A. Sinkevich (Moskva) MSC: 82B31 82B26 82B10 PDFBibTeX XMLCite \textit{L. Erdős} et al., Commun. Pure Appl. Math. 59, No. 12, 1659--1741 (2006; Zbl 1122.82018) Full Text: DOI arXiv