Covariant canonical formalism for the group manifold
type: Item
instance of: scholarly article
title: Covariant canonical formalism for the group manifold
zbMATH Open document ID: 0584.53042
DOI: 10.1016/0003-4916(85)90302-1
author: J. E. Nelson
author: Alessandro D'adda
author: Tullio Regge
published in: Annals of Physics
publication date: 1985-01-01T00:00:00Z
review text: A formal (canonical) algebra of (differential) form brackets is developed which for Hamiltonian systems is analogous to the algebra of Poisson brackets of classical mechanics on the one hand and to the algebra of commutators of quantum mechanics on the other. This formalism is expected to be useful in discussion of theories where gravity is unified with other fields. The formalism is based on the theory of group manifolds.
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 83E50
Mathematics Subject Classification ID: 83E15
zbMATH DE Number: 3935918
zbMATH Keywords: Lagrangian systems
zbMATH Keywords: Hamiltonian systems
zbMATH Keywords: form brackets
zbMATH Keywords: group manifolds
reviewed by: Chandra Shekhar Sharma
MaRDI profile type: Publication
full work available at URL: 0003-4916(85)90302-1
OpenAlex ID: W2082325631
cites work: Q5724559
cites work: The theory of gravitation in Hamiltonian form
cites work: Surface integrals and the gravitational action
cites work: Q5730830
description: scientific article; zbMATH DE number 3935918