A variational principle for actions on symmetric symplectic spaces

DOI10.1016/j.geomphys.2003.12.001zbMath1071.53049arXivmath-ph/0203012OpenAlexW2094666820MaRDI QIDQ557256

Pedro de M. Rios, Alfredo M. Ozorio de Almeida

Publication date: 23 June 2005

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0203012

zbMATH Keywords

Hamiltonian systemsHamiltoniansSymplectic geometrycausticsclassical trajectories

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Variational principles in infinite-dimensional spaces (58E30) Canonical transformations in symplectic and contact geometry (53D22)

Related Items (9)

Strict deformation quantization via geometric quantization in the Bieliavsky plane ⋮ The Wigner caustic on shell and singularities of odd functions ⋮ Symplectic microgeometry II: Generating functions ⋮ The universal generating function of analytical Poisson structures ⋮ Symplectic generating functions and Moyal products ⋮ Symplectic microgeometry. IV: Quantization ⋮ Singularities of equidistants and global centre symmetry sets of Lagrangian submanifolds ⋮ Phase space propagators for quantum operators ⋮ Even dimensional improper affine spheres

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
• Unnamed Item
• The local structure of Poisson manifolds
• Critical points of quasi-functions and generating families of Legendrian manifolds
• Lagrangian submanifolds and Hamiltonian systems
• Symplectic topology as the geometry of generating functions
• Geodesic symmetries of homogeneous Kaehler manifolds
• Reduction of symplectic manifolds with symmetry
• Strict quantization of solvable symmetric spaces
• Fourier integral operators. I
• Symplectic manifolds and their Lagrangian submanifolds
• The invariance of Poincaré's generating function for canonical transformations
• Discrete mechanics and variational integrators
• SYMPLECTIC GEODESIC SYMMETRIES ON KÄHLER MANIFOLDS
• Semi-classical mechanics in phase space: A study of Wigner’s function
• Symplectic geometry
• Phase space path integral for the Weyl propagator
• An alternative to the Hamilton-Jacobi approach in classical mechanics
• On the propagation of semiclassical Wigner functions
• Symplectic groupoids and Poisson manifolds
• On the symplectically invariant variational principle and generating functions

This page was built for publication: A variational principle for actions on symmetric symplectic spaces