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

In this paper we consider a connection between the Moyal formuration ofquantum mechanics and noncommutative lattices on nonlocal spaces. The Moyalbracket generates SU(N) Lie algebras,and representations of these algebrascorrespond to Bratteli diagrams on Hilbert spaces of C*-algebras, and alsorepresentations of noncommutative lattices on nonlocal spaces correspond to thesame diagrams. We will show that the quantization thus generates nonlocalspaces by the intermediation of Bratteli diagrams.The above connection areinvestigated in details in two definite cases, one is one-dimensional latticeQCD SU(N) fields on the unit circle, the other is Penrose lattice SU-type Liealgebra fields on the Penrose lattice.

Generation of Nonlocal Spaces from Moyal Brackets and Penrose Lattices by way of example