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

Using Gutzwiller's semiclassical periodic-orbit theory we demonstrateuniversal behaviour of the two-point correlator of the density of levels forquantum systems whose classical limit is fully chaotic. We go beyond previouswork in establishing the full correlator such that its Fourier transform, thespectral form factor, is determined for all times, below and above theHeisenberg time. We cover dynamics with and without time reversal invariance(from the orthogonal and unitary symmetry classes). A key step in our reasoningis to sum the periodic-orbit expansion in terms of a matrix integral, like theone known from the sigma model of random-matrix theory.

Periodic-orbit theory of universal level correlations in quantum chaos