344 citations · 2.6k across the 88 of their papers we have counts for
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Fluctuations of -particle quantum dynamics around the nonlinear Schrödinger equation
Christian Brennecke, Phan Thành Nam, Marcin Napiórkowski +1
We consider a system of bosons interacting through a singular two-body potential scaling with and having the form , for an arbitrary parameter $β\in (0,1…
From Hartree dynamics to the relativistic Vlasov equation
Elia Dietler, Simone Rademacher, Benjamin Schlein
We derive the relativistic Vlasov equation from quantum Hartree dynamics for fermions with relativistic dispersion in the mean-field scaling, which is naturally linked with an effe…
The excitation spectrum of Bose gases interacting through singular potentials
Chiara Boccato, Christian Brennecke, Serena Cenatiempo +1
We consider systems of bosons in a box with volume one, interacting through a repulsive two-body potential of the form . For all , and for sufficie…
A microscopic derivation of time-dependent correlation functions of the cubic nonlinear Schrödinger equation
Jürg Fröhlich, Antti Knowles, Benjamin Schlein +1
We give a microscopic derivation of time-dependent correlation functions of the cubic nonlinear Schrödinger equation (NLS) from many-body quantum theory. The starting point of…
Complete Bose-Einstein condensation in the Gross-Pitaevskii regime
Chiara Boccato, Christian Brennecke, Serena Cenatiempo +1
We consider a gas of bosons in a box with volume one interacting through a two-body potential with scattering length of order (Gross-Pitaevskii limit). Assuming the (u…
Gross-Pitaevskii Dynamics for Bose-Einstein Condensates
Christian Brennecke, Benjamin Schlein
We study the time-evolution of initially trapped Bose-Einstein condensates in the Gross-Pitaevskii regime. Under a physically motivated assumption on the energy of the initial data…