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 try to prepare a framework for field quantization. To thisend, we aim to replace the field of scalars R by self-adjoint elements of acommutative  C-algebra, and reach an appropriate generalization of geometrical concepts onmanifolds. First, we put forward the concept of operator-valued tensors andextend semi-Riemannian metrics to operator valued metrics. Then, in this newgeometry, some essential concepts of Riemannian geometry such as curvature ten-sor, Levi-Civita connection, Hodge star operator, exterior derivative,divergence,... will be considered.

Operator-Valued Tensors on Manifolds: A Framework for Field Quantization