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

We address the issue of the relation between the canonical functionalSchr\"odinger representation in quantum field theory and the approach ofprecanonical field quantization proposed by the author, which requires neithera distinguished time variable nor infinite-dimensional spaces of fieldconfigurations. We argue that the standard functional derivative Schr\"odingerequation can be derived from the precanonical Dirac-like covariantgeneralization of the Schr\"odinger equation under the formal limitingtransition $\gamma^0\varkappa\rightarrow\delta(\mathbf{0})$, where the constant$\varkappa$ naturally appears within the precanonical quantization as theinverse of a small "elementary volume" of space. We obtain a formal explicitexpression of the Schr\"odinger wave functional as a continuous product of theDirac algebra valued precanonical wave functions, which are defined on thefinite-dimensional covariant configuration space of the field variables andspace-time variables.

Precanonical quantization and the Schr\"odinger wave functional revisited