Constrained systems: A unified geometric approach

DOI10.1007/BF00672895zbMath0733.58014OpenAlexW2035895281MaRDI QIDQ809436

Xavier Gràcia, Josep M. Pons

Publication date: 1991

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00672895

zbMATH Keywords

constrained mechanical systemsLagrangian systempresymplectic structure

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

Higher-order Lagrangian systems: Geometric structures, dynamics, and constraints, The constraint algorithm for time-dependent Lagrangians, GEOMETRIC ASPECTS OF TIME-DEPENDENT SINGULAR DIFFERENTIAL EQUATIONS, A generalized geometric framework for constrained systems, Unnamed Item, An extension of the Dirac and Gotay-Nester theories of constraints for Dirac dynamical systems

Cites Work

• On an evolution operator connecting Lagrangian and Hamiltonian formalisms
• Presymplectic manifolds and the Dirac–Bergmann theory of constraints
• Higher-order conditions for singular Lagrangian dynamics
• Equivalence between the Lagrangian and Hamiltonian formalism for constrained systems
• Foundations of Quantum Mechanics