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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

A detailed analysis of electron-positron pair creation induced by a spatiallynonuniform and static electric field from vacuum is presented. A typicalexample is provided by the Sauter potential. For this potential, we derive theanalytic expressions for vacuum decay and pair production rate accounted forthe entire range of spatial variations. In the limit of a sharp step, werecover the divergent result due to the singular electric field at the origin.The limit of a constant field reproduces the classical result of Euler,Heisenberg and Schwinger, if the latter is properly averaged over the width ofa spatial variation. The pair production by the Sauter potential is describedfor different physical regimes from weak to strong fields. In all theseregimes, the locally constant-field rate is shown to be the upper limit.

On Electron-Positron Pair Production by a Spatially Nonuniform Electric Field