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; Schlein, Benjamin; Yau, Horng-Tzer Derivation of the cubic nonlinear Schrödinger equation from quantum dynamics of many-body systems. (English) Zbl 1123.35066 Invent. Math. 167, No. 3, 515-614 (2007). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35Q55 81Q15 81V70 81T18 PDFBibTeX XMLCite \textit{L. Erdős} et al., Invent. Math. 167, No. 3, 515--614 (2007; Zbl 1123.35066) Full Text: DOI arXiv
Elgart, Alexander; Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer Gross-Pitaevskii equation as the mean field limit of weakly coupled bosons. (English) Zbl 1086.81035 Arch. Ration. Mech. Anal. 179, No. 2, 265-283 (2006). MSC: 81Q05 35Q55 81S05 PDFBibTeX XMLCite \textit{A. Elgart} et al., Arch. Ration. Mech. Anal. 179, No. 2, 265--283 (2006; Zbl 1086.81035) Full Text: DOI arXiv
Erdős, László; Yau, Horng-Tzer Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation. (English) Zbl 1028.82010 Commun. Pure Appl. Math. 53, No. 6, 667-735 (2000). MSC: 82C10 82C40 60K37 82C44 81S99 PDFBibTeX XMLCite \textit{L. Erdős} and \textit{H.-T. Yau}, Commun. Pure Appl. Math. 53, No. 6, 667--735 (2000; Zbl 1028.82010) Full Text: DOI arXiv