A New Look at the Schouten-Nijenhuis, Frölicher-Nijenhuis and Nijenhuis-Richardson Brackets for Symplectic Spaces
arXiv:hep-th/9907065 · doi:10.1063/1.533218
Abstract
In this paper we re-express the Schouten-Nijenhuis, the Frölicher-Nijenhuis and the Nijenhuis-Richardson brackets on a symplectic space using the extended Poisson brackets structure present in the path-integral formulation of classical mechanics.
27+1 pages, Latex, no figures
Cited by in corpus (15)
- Universal Local symmetries and non-superposition in classical mechanics
- Koopman-von Neumann Formulation of Classical Yang-Mills Theories: I
- Geometric Dequantization
- Minimal Coupling in Koopman-von Neumann Theory
- Hilbert Space Structure in Classical Mechanics: (I)
- A New Superconformal Mechanics
- Mechanical similarity as a generalization of scale symmetry
- The Response Field and the Saddle Points of Quantum Mechanical Path Integrals
- Diagrammar In Classical Scalar Field Theory
- Functional Techniques in Classical Mechanics
- Universal local symmetries in classical mechanics and physical degrees of freedom
- On the metric structure of time in classical and quantum mechanics
- The History of Hilbert-Space Formulations of Classical Physics
- Note on the super-extended Moyal formalism and its BBGKY hierarchy
- Cartan Calculus via Pauli Matrices