The dynamic differential forms of the Klein-Gordon field and the conformal group
type: Item
instance of: scholarly article
title: The dynamic differential forms of the Klein-Gordon field and the conformal group
zbMATH Open document ID: 0599.58005
DOI: 10.1016/0393-0440(84)90011-1
author: Richard Arens
published in: Journal of Geometry and Physics
publication date: 1984-01-01T00:00:00Z
review text: Dynamic differential forms are the natural generalization of conserved currents. We discover the entire class for the real Klein-Gordon field, and find that each dynamic form is equivalent to a Noetherian form, that is, a form based on a canonical symmetry. Going to the complex case, we classify also its dynamic currents. It appears that some of them are definitely not equivalent to Noetherian forms.
Mathematics Subject Classification ID: 58A99
Mathematics Subject Classification ID: 58J70
zbMATH DE Number: 3967482
zbMATH Keywords: Dynamic differential forms
zbMATH Keywords: Klein-Gordon field
zbMATH Keywords: dynamic currents
MaRDI profile type: Publication
full work available at URL: 0393-0440(84)90011-1
OpenAlex ID: W2092378975
Wikidata QID: Q115363194
cites work: Reducing the order of a Lagrangian
cites work: Manifestly dynamic forms in the Cartan Hamilton treatment of classical fields
cites work: Conformal covariance of field equations
cites work: The Hamilton-Cartan formalism in the calculus of variations
cites work: Q4046802
description: scientific article; zbMATH DE number 3967482