Rigorous Derivation of the Gross-Pitaevskii Equation
Skip to main content
eScholarship
Open Access Publications from the University of California

Department of Mathematics

Faculty bannerUC Davis

Rigorous Derivation of the Gross-Pitaevskii Equation

  • Author(s): Erdos, Laszlo
  • Schlein, Benjamin
  • Yau, Horng-Tzer
  • et al.

Published Web Location

https://arxiv.org/pdf/math-ph/0612028.pdf
No data is associated with this publication.
Abstract

The time dependent Gross-Pitaevskii equation describes the dynamics of initially trapped Bose-Einstein condensates. We present a rigorous proof of this fact starting from a many-body bosonic Schroedinger equation with a short scale repulsive interaction in the dilute limit. Our proof shows the persistence of an explicit short scale correlation structure in the condensate.

Item not freely available? Link broken?
Report a problem accessing this item