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 consider the Schr\"odinger--Poisson--Newton equations for finite crystalsunder periodic boundary conditions with one ion per cell of a lattice. Theelectron field is described by the $N$-particle Schr\"odinger equation withantisymmetric wave function.  Our main results are i) the global dynamics with moving ions, and ii) theorbital stability of periodic ground state under a novel Jellium andWiener-type conditions on the ion charge density. Under Jellium condition bothionic and electronic charge densities of the ground state are uniform.

On orbital stability of ground states for finite crystals in fermionic Schr\"odinger--Poisson model