Formulation of singular theories in a partial Hamiltonian formalism using a new bracket and multi-time dynamics

DOI10.1142/S0219887815500012zbMath1307.37029arXiv1308.1052MaRDI QIDQ5177624

Steven Duplij

Publication date: 13 March 2015

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.1052

zbMATH Keywords

HessianPoisson bracketLegendre transformDirac constraintsdegenerate Lagrangianmulti-time dynamics

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Constrained dynamics, Dirac's theory of constraints (70H45)

Cites Work

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• On Dirac's incomplete analysis of gauge transformations
• Non-abelianizable first class constraints
• Perturbative quantum corrections and flux compactifications
• On the many-time formulation of classical particle dynamics
• Constrained Hamiltonian systems as implicit differential equations
• Dynamical structure of irregular constrained systems
• On Abelianization of first class constraints
• Foundations of Quantum Mechanics

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