quantization of symplectic manifolds

См. также в других словарях:

• Weyl quantization — In mathematics and physics, in the area of quantum mechanics, Weyl quantization is a method for systematically associating a quantum mechanical Hermitian operator with a classical kernel function in phase space invertibly. A synonym is phase… …   Wikipedia

• Symplectomorphism — In mathematics, a symplectomorphism is an isomorphism in the category of symplectic manifolds. Formal definitionSpecifically, let ( M 1, omega;1) and ( M 2, omega;2) be symplectic manifolds. A map : f : M 1 rarr; M 2 is a symplectomorphism if it… …   Wikipedia

• Moyal product — In mathematics, the Moyal product, named after José Enrique Moyal, is perhaps the best known example of a phase space star product: an associative, non commutative product, ∗, on the functions on ℝ2n, equipped with its Poisson bracket (with a… …   Wikipedia

• Contact geometry — Contact form redirects here. For a web email form, see Form (web)#Form to email scripts. The standard contact structure on R3. Each point in R3 has a plane associated to it by the contact structure, in this case as the kernel of the one form dz − …   Wikipedia

• Bohr model — In atomic physics, the Bohr model created by Niels Bohr depicts the atom as a small, positively charged nucleus surrounded by electrons that travel in circular orbits around the nucleus mdash;similar in structure to the solar system, but with… …   Wikipedia

• Orbit method — In mathematics, the orbit method (also known as the Kirillov theory, the method of coadjoint orbits and by a few similar names) establishes a correspondence between irreducible unitary representations of a Lie group and its coadjoint orbits:… …   Wikipedia

• Noncommutative geometry — Not to be confused with Anabelian geometry. Noncommutative geometry (NCG) is a branch of mathematics concerned with geometric approach to noncommutative algebras, and with construction of spaces which are locally presented by noncommutative… …   Wikipedia

• Supermanifold — In physics and mathematics, supermanifolds are generalizations of the manifold concept based on ideas coming from supersymmetry. Several definitions are in use, some of which are described below. Physics In physics, a supermanifold is a manifold… …   Wikipedia

• Metaplectic structure — In differential geometry, a metaplectic structure is the symplectic analog of spin structure on orientable Riemannian manifolds. A metaplectic structure on a symplectic manifold allows one to define the symplectic spinor bundle, which is the… …   Wikipedia

• Moduli (physics) — In quantum field theory, the term moduli (or more properly moduli fields) is sometimes used to refer to scalar fields whose potential energy function has continuous families of global minima. Such potential functions frequently occur in… …   Wikipedia

• Supergravity — In theoretical physics, supergravity (supergravity theory) is a field theory that combines the principles of supersymmetry and general relativity. Together, these imply that, in supergravity, the supersymmetry is a local symmetry (in contrast to… …   Wikipedia