Quantification de certains espaces hermitiens symétriques
Quantification d'une variété symplectique
Quantification et approximations semi-classiques
Quantification géométrique et réduction symplectique
Quantization and global properties of manifolds
Quantization commutes with reduction in the non-compact setting: the case of holomorphic discrete series
In this paper we show that the multiplicities of holomorphic discrete series representations relative to reductive subgroups satisfy the credo “quantization commutes with reduction”.
Quantization of a dimensionally reduced Seiberg-Witten moduli space.
Quantization of pencils with a gl-type Poisson center and braided geometry
We consider Poisson pencils, each generated by a linear Poisson-Lie bracket and a quadratic Poisson bracket corresponding to a so-called Reflection Equation Algebra. We show that any bracket from such a Poisson pencil (and consequently, the whole pencil) can be restricted to any generic leaf of the Poisson-Lie bracket. We realize a quantization of these Poisson pencils (restricted or not) in the framework of braided affine geometry. Also, we introduce super-analogs of all these Poisson pencils and...
Quantization of Poisson structures on .
Quantization of the cotangent bundle via the tangent groupoid
Quantization on submanifolds
Quantum deformations of the Lorentz group. The Hopf-algebra level
Quantum Equivalent Magnetic Fields that Are Not Classically Equivalent
We construct pairs of compact Kähler-Einstein manifolds of complex dimension with the following properties: The canonical line bundle has Chern class , and for each positive integer the tensor powers and are isospectral for the bundle Laplacian associated with the canonical connection, while and – and hence and – are not homeomorphic. In the context of geometric quantization, we interpret these examples as magnetic fields which are quantum equivalent but not classically equivalent....
Quantum ergodicity of C*-dynamical systems
Quantum structures in Galilei general relativity