Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Poisson_ring> ?p ?o. }
Showing items 1 to 17 of
17
with 100 items per page.
- Poisson_ring abstract "In mathematics, a Poisson ring is a commutative ring on which an anticommutative and distributive binary operation satisfying the Jacobi identity and the product rule is defined. Such an operation is then known as the Poisson bracket of the Poisson ring.Many important operations and results of symplectic geometry and Hamiltonian mechanics may be formulated in terms of the Poisson bracket and, hence, apply to Poisson algebras as well. This observation is important in studying the classical limit of quantum mechanics—the non-commutative algebra of operators on a Hilbert space has the Poisson algebra of functions on a symplectic manifold as a singular limit, and properties of the non-commutative algebra pass over to corresponding properties of the Poisson algebra.".
- Poisson_ring wikiPageID "4287020".
- Poisson_ring wikiPageRevisionID "547292436".
- Poisson_ring hasPhotoCollection Poisson_ring.
- Poisson_ring id "6414".
- Poisson_ring id "6422".
- Poisson_ring title "If the algebra of functions on a manifold is a Poisson ring then the manifold is symplectic".
- Poisson_ring title "Poisson Ring".
- Poisson_ring subject Category:Ring_theory.
- Poisson_ring subject Category:Symplectic_geometry.
- Poisson_ring comment "In mathematics, a Poisson ring is a commutative ring on which an anticommutative and distributive binary operation satisfying the Jacobi identity and the product rule is defined. Such an operation is then known as the Poisson bracket of the Poisson ring.Many important operations and results of symplectic geometry and Hamiltonian mechanics may be formulated in terms of the Poisson bracket and, hence, apply to Poisson algebras as well.".
- Poisson_ring label "Poisson ring".
- Poisson_ring sameAs m.0bv5yp.
- Poisson_ring sameAs Q7208504.
- Poisson_ring sameAs Q7208504.
- Poisson_ring wasDerivedFrom Poisson_ring?oldid=547292436.
- Poisson_ring isPrimaryTopicOf Poisson_ring.