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

Exploiting conformal symmetry, we derive a simple exact formula for theclassical electromagnetic Casimir interaction of two perfectly conductingthree-spheres, including the sphere-plate geometry as a special case, in foureuclidean dimensions. We verify that the short distance expansion of theCasimir energy agrees to leading order with the Proximity Force Approximation(PFA), while the next-to-leading-order is in agreement with a recently proposedderivative expansion of the Casimir energy. At the next-to-next-to-leadingorder we find a non-analytic correction to PFA, which for a sphere-plate systemis of the order of $(d/R)^{3/2} \log(d/R)$, where $d$ is the separation and $R$the sphere radius.

Exact Casimir interaction of perfectly conducting three-spheres in four euclidean dimensions