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 Laplacian in a straight planar strip with Dirichlet boundarywhich has two Neumann ``windows'' of the same length the centers of which are$2l$ apart, and study the asymptotic behaviour of the discrete spectrum as$l\to\infty$. It is shown that there are pairs of eigenvalues around eachisolated eigenvalue of a single-window strip and their distances vanishexponentially in the limit $l\to\infty$. We derive an asymptotic expansion alsoin the case where a single window gives rise to a threshold resonance which thepresence of the other window turns into a single isolated eigenvalue

Exponential splitting of bound states in a waveguide with a pair of distant windows