English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We prove rigorously that the one-particle density matrix of three dimensionalinteracting Bose systems with a short-scale repulsive pair interactionconverges to the solution of the cubic non-linear Schr\"odinger equation in asuitable scaling limit. The result is extended to $k$-particle density matricesfor all positive integer $k$.Comment: 72 pages, 17 figures. Final versio

Derivation of the cubic non-linear Schrödinger equation from quantum dynamics of many-body systems