Symmetries and reduction Part II — Lagrangian and Hamilton–Jacobi picture
DOI10.1142/s0219887821300063arXiv2108.05600OpenAlexW3203715025MaRDI QIDQ6187540
Giuseppe Marmo, Alessandro Zampini, Luca Schiavone
Publication date: 31 January 2024
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.05600
Hamilton-Jacobi equations in mechanics (70H20) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Lagrange's equations (70H03) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hamilton-Jacobi theory, symmetries and coisotropic reduction
- The inverse problem in the calculus of variations and the geometry of the tangent bundle
- Gauge symmetries and fibre bundles. Applications to particle dynamics
- The Hamilton-Jacobi theory and the analogy between classical and quantum mechanics
- Reduction of degenerate Lagrangian systems
- Le problème général des variables actions-angles. (The general problem of action-angle variables)
- Noether's theorem for singular Lagrangians
- Lagrangian constraints and gauge symmetries
- Dynamical symmetries in constrained systems: A Lagrangian analysis
- Eikonal type equations for geometrical singularities of solutions in field theory
- Helmholtz conditions and alternative Lagrangians: Study of an integrable Hénon-Heiles system
- Symmetries and constants of the motion for singular Lagrangian systems
- Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
- Lagrangian reduction by stages
- Structural aspects of Hamilton–Jacobi theory
- Advanced Concepts in Quantum Mechanics
- A quantum route to Hamilton–Jacobi equation: comments and remarks
- Variational principles on rth order jets of fibre bundles in field theory
- Vector bundles, rth order Noether invariants and canonical symmetries in Lagrangian field theory
- GEOMETRIC HAMILTON–JACOBI THEORY
- Symmetries and constants of motion for constrained Lagrangian systems: a presymplectic version of the Noether theorem
- REDUCTION PROCEDURES IN CLASSICAL AND QUANTUM MECHANICS
- Non-Noether constants of motion
- Geometric theory of the equivalence of Lagrangians for constrained systems
- New relations between Hamiltonian and Lagrangian constraints
- Lagrangian and Hamiltonian constraints for second-order singular Lagrangians
- Presymplectic manifolds and the Dirac–Bergmann theory of constraints
- On the differential geometry of the Euler-Lagrange equations, and the inverse problem of Lagrangian dynamics
- Symmetries of the Hamilton–Jacobi equation
- Constrained Hamiltonian systems as implicit differential equations
- Towards a geometrical understanding of Douglas's solution of the inverse problem of the calculus of variations
- Generators of Symmetry Transformations for Constrained Hamiltonian Systems
- A Hodge–de Rham Dirac operator on the quantum SU(2)
- A Hamilton–Jacobi theory for implicit differential systems
- Equivalence between the Lagrangian and Hamiltonian formalism for constrained systems
- Oscillatory integrals, lagrange immersions and unfolding of singularities
- A generalized Lagrange equation in implicit form for non-conservative mechanics
- From Classical to Quantum Mechanics
- Integrability of implicit differential equations
- A quantum route to the classical Lagrangian formalism
- A Hamilton–Jacobi formalism for higher order implicit Lagrangians
- Lagrangian description of Heisenberg and Landau–von Neumann equations of motion
- Geometry from Dynamics, Classical and Quantum
- Dirac operators on the S3 and S2 spheres
- Second Order Ordinary Differential Equations in Jet Bundles and the Inverse Problem of the Calculus of Variations
- On the inversion of Noether’s theorem in the Lagrangian formalism
- On the inversion of Noether's theorem in the Lagrangian formalism
- Generalized Hamiltonian Dynamics
- The Hamiltonian Form of Field Dynamics
- Riemannian geometry and geometric analysis
This page was built for publication: Symmetries and reduction Part II — Lagrangian and Hamilton–Jacobi picture
