108 citations · 365 across the 21 of their papers we have counts for
Showing 2014 · math.APShow all
3 papers · 2 filters
math.AP2014★ 20 cited
The Gross-Pitaevskii hierarchy on general rectangular tori
Sebastian Herr, Vedran Sohinger
In this work, we study the Gross-Pitaevskii hierarchy on general --rational and irrational-- rectangular tori of dimension two and three. This is a system of infinitely many linear…
math.AP2014★ 36 cited
A rigorous derivation of the defocusing cubic nonlinear Schrödinger equation on from the dynamics of many-body quantum systems
Vedran Sohinger
In this paper, we will obtain a rigorous derivation of the defocusing cubic nonlinear Schrödinger equation on the three-dimensional torus from the many-body limit of…
math.AP2014★ 14 cited
Local existence of solutions to Randomized Gross-Pitaevskii hierarchies
Vedran Sohinger
In this paper, we study the local-in-time existence of solutions to randomized forms of the Gross-Pitaevskii hierarchy on periodic domains. In particular, we study the independentl…