Origin of the Lagrangian constraints and their relation with the Hamiltonian formulation
From MaRDI portal
Publication:3787545
DOI10.1063/1.527955zbMath0644.70013OpenAlexW1969239166MaRDI QIDQ3787545
No author found.
Publication date: 1988
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.527955
Euler-Lagrange equationsLagrangian formulationsingular Lagrangianspresymplectic systemsHamiltonian Dirac theory
Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Hamilton-Jacobi equations in mechanics (70H20) Lagrange's equations (70H03)
Related Items (7)
A geometric setting for higher-order Dirac–Bergmann theory of constraints ⋮ Symmetries and first integrals of time-dependent higher-order constrained systems ⋮ The second-order problem for \(k\)-presymplectic Lagrangian field theories: application to the Einstein-Palatini model ⋮ An extension of the Dirac and Gotay-Nester theories of constraints for Dirac dynamical systems ⋮ Unnamed Item ⋮ Constrained Lagrangian dissipative contact dynamics ⋮ Geometrical foundations of Lagrangian supermechanics and supersymmetry
Cites Work
- Some properties of constraints in theories with degenerate Lagrangians
- Reduction of degenerate Lagrangian systems
- Equations of motion, commutation relations and ambiguities in the Lagrangian formalism
- Lagrangian and Hamiltonian constraints
- The range of application of the lagrange formalism — I
- Tangent bundle geometry Lagrangian dynamics
- The Helmholtz conditions revisited. A new approach to the inverse problem of Lagrangian dynamics
- Geometric theory of the equivalence of Lagrangians for constrained systems
- Canonical transformations theory for presymplectic systems
- On the Legendre transformation for singular Lagrangians and related topics
- Presymplectic manifolds and the Dirac–Bergmann theory of constraints
- Generalizations of Noether’s Theorem in Classical Mechanics
- On the differential geometry of the Euler-Lagrange equations, and the inverse problem of Lagrangian dynamics
- Equivalence between the Lagrangian and Hamiltonian formalism for constrained systems
- Generalized Hamiltonian Dynamics
This page was built for publication: Origin of the Lagrangian constraints and their relation with the Hamiltonian formulation
