Publications
Publications
References
67.
Jürg Fröhlich, Antti Knowles, Benjamin Schlein and Vedran Sohinger
A microscopic derivation of time-dependent correlation functions of the 1D cubic nonlinear Schrödinger equation
Adv. Math., 353:67--115
2019
66.
Chiara Boccato, Christian Brennecke, Serena Cenatiempo and Benjamin Schlein
Bogoliubov theory in the Gross-Pitaevskii limit
Acta Math., 222(2):219--335
2019
65.
Simone Rademacher and Benjamin Schlein
Central limit theorem for Bose-Einstein condensates
J. Math. Phys., 60(7):071902, 18
2019
64.
Christian Brennecke, Phan Thành Nam, Marcin Napiórkowski and Benjamin Schlein
Fluctuations of N-particle quantum dynamics around the nonlinear Schrödinger equation
Ann. Inst. H. Poincaré Anal. Non Linéaire, 36(5):1201--1235
2019
63.
Christian Brennecke and Benjamin Schlein
Gross-Pitaevskii dynamics for Bose-Einstein condensates
Anal. PDE, 12(6):1513--1596
2019
62.
Chiara Boccato, Christian Brennecke, Serena Cenatiempo and Benjamin Schlein
Complete Bose-Einstein condensation in the Gross-Pitaevskii regime
Comm. Math. Phys., 359(3):975--1026
2018
61.
Elia Dietler, Simone Rademacher and Benjamin Schlein
From Hartree dynamics to the relativistic Vlasov equation
J. Stat. Phys., 172(2):398--433
2018
60.
Benjamin Schlein
Derivation of effective evolution equations from many-body quantum mechanics
Riv. Math. Univ. Parma (N.S.), 8(1):83--108
2017
59.
Jürg Fröhlich, Antti Knowles, Benjamin Schlein and Vedran Sohinger
Gibbs measures of nonlinear Schrödinger equations as limits of many-body quantum states in dimensions d leqslant 3
Comm. Math. Phys., 356(3):883--980
2017
58.
Marcello Porta, Simone Rademacher, Chiara Saffirio and Benjamin Schlein
Mean field evolution of fermions with Coulomb interaction
J. Stat. Phys., 166(6):1345--1364
2017
57.
Chiara Boccato, Serena Cenatiempo and Benjamin Schlein
Quantum many-body fluctuations around nonlinear Schrödinger dynamics
Ann. Henri Poincare, 18(1):113--191
2017
56.
Niels Benedikter, Marcello Porta, Chiara Saffirio and Benjamin Schlein
From the Hartree dynamics to the Vlasov equation
Arch. Ration. Mech. Anal., 221(1):273--334
2016
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