Phase space geometry for constrained Lagrangian systems

1998/06/27 by Vladimir Pavlov, Pavlov, Vladimir, Andrei O. Starinets +2
Engineering · Mathematics · Physics and Astronomy · #58F05 #58F06 #81S10 #Dynamical Systems (math.DS) #Elasticity and Wave Propagation #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum and Classical Electrodynamics #Relativity and Gravitational Theory #hep-th #math-ph #math.DS #math.MP #msc:58F05 #msc:58F06 #msc:81S10

paper · pdf · doi:10.48550/arxiv.math-ph/9806016

27 pages

arxiv created 1998/06/27 · openalex publication_date 1998/06/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study geometry of the phase space for finite-dimensional dynamical systems with degenerate Lagrangians. The Lagrangian and Hamiltonian constraint formalisms are treated as different local-coordinate pictures of the same invariant procedure. The invariant description is given in terms of geometrical objects associated with the structure of foliation on the phase space.

Citations

• Quantization of Gauge Systems

Related

• Constraints in polysymplectic (covariant) Hamiltonian formalism
• Reduced phase space quantization
• The Hamiltonian Formulation of Higher Order Dynamical Systems
• Gauge Independent Lagrangian Reduction of Constrained Systems
• Structure of Constrained Systems in Lagrangian Formalism and Degree of Freedom Count