72 citations · 348 across the 18 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…