Year: 2015
Type: preprint
Abstract: We review recent results about the derivation of the Gross-Pitaevskii equation and of the Bogoliubov excitation spectrum, starting from many-body quantum mechanics. We focus on the mean-field regime, where the interaction is multiplied by a coupling constant of order 1/N where N is the number of particles in the system.
Source: arXiv (Cornell University)
Author: Lewin, Mathieu
Institution: Centre de Recherche en Mathématiques de la Décision
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2263679565