Dirac's conjecture
type: Item
instance of: scholarly article
title: Dirac's conjecture
zbMATH Open document ID: 0841.70011
DOI: 10.1007/BF00670695
author: Bichu Wu
published in: International Journal of Theoretical Physics
publication date: 1994-12-11T00:00:00Z
review text: Dirac conjectured that all first-class constraints for a singular Lagrangian generate gauge transformations. The author shows that the existence of the generalized Poincaré-Cartan integral invariant for a system is equivalent to Dirac's conjecture being true for this system. He gives an example for which this integral invariant does not exist. The discussion is heuristic, and the paper is only marginally comprehensible.
Mathematics Subject Classification ID: 70Sxx
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 81T99
Mathematics Subject Classification ID: 81S99
zbMATH DE Number: 701343
zbMATH Keywords: constrained Hamiltonian systems
zbMATH Keywords: generalized canonical formalism
zbMATH Keywords: gauge transformations
zbMATH Keywords: first-class constraints
zbMATH Keywords: singular Lagrangian
zbMATH Keywords: generalized Poincaré-Cartan integral invariant
Wikidata QID: Q123126466
MaRDI profile type: Publication
cites work: Poincaré Cartan integral invariant for constrained systems
cites work: Foundations of Quantum Mechanics
cites work: Poincaré–Cartan integral invariant and canonical transformations for singular Lagrangians
cites work: Poincaré–Cartan integral invariant and canonical transformations for singular Lagrangians: An addendum
cites work: Gauge transformations in Dirac theory of constrained systems
cites work: Symmetry in a constrained Hamiltonian system with singular higher-order Lagrangian
full work available at URL: https://doi.org/10.1007/bf00670695
OpenAlex ID: W2014126898
description: scientific article; zbMATH DE number 701343