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/

Zendy Plus

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

Zendy Tools

Zendy Open

We consider the Schr\"odinger operator $H_{\eta W} = -\Delta + \eta W$,self-adjoint in $L^2({\mathbb R}^d)$, $d \geq 1$. Here $\eta$ is a non constantalmost periodic function, while $W$ decays slowly and regularly at infinity. Westudy the asymptotic behaviour of the discrete spectrum of $H_{\eta W}$ nearthe origin, and due to the irregular decay of $\eta W$, we encounter some nonsemiclassical phenomena. In particular, $H_{\eta W}$ has less eigenvalues thansuggested by the semiclassical intuition.

Discrete spectrum of Schr\"odinger operators with oscillating decaying potentials