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Displaying 81 – 100 of 135

Quantification géométrique et réduction symplectique

Michèle Vergne (2000/2001)

Séminaire Bourbaki

Quantization and global properties of manifolds

G. I. Kolerov (1978)

Annales de l'I.H.P. Physique théorique

Quantization commutes with reduction in the non-compact setting: the case of holomorphic discrete series

Paul-Emile Paradan (2015)

Journal of the European Mathematical Society

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.

Dey, Rukmini (2004)

Mathematical Physics Electronic Journal [electronic only]

Quantization of pencils with a gl-type Poisson center and braided geometry

Dimitri Gurevich, Pavel Saponov (2011)

Banach Center Publications

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 $𝐑^{2}$ .

Tamarkin, Dmitry (1997)

Electronic Research Announcements of the American Mathematical Society [electronic only]

Quantization of the cotangent bundle via the tangent groupoid

José Cariñena, Jesús Clemente-Gallardo (2000)

Banach Center Publications

Quantization on submanifolds

Doebner, H. D., Tolar, J. (1984)

Proceedings of the 11th Winter School on Abstract Analysis

Quantum deformations of the Lorentz group. The Hopf-algebra level

S. L. Woronowicz, S. Zakrzewski (1994)

Compositio Mathematica

Quantum Equivalent Magnetic Fields that Are Not Classically Equivalent

Carolyn Gordon, William Kirwin, Dorothee Schueth, David Webb (2010)

Annales de l’institut Fourier

We construct pairs of compact Kähler-Einstein manifolds $(M_{i}, g_{i}, ω_{i}) (i = 1, 2)$ of complex dimension $n$ with the following properties: The canonical line bundle $L_{i} = ⋀^{n} T^{*} M_{i}$ has Chern class $[ω_{i} / 2 π]$ , and for each positive integer $k$ the tensor powers $L_{1}^{\otimes k}$ and $L_{2}^{\otimes k}$ are isospectral for the bundle Laplacian associated with the canonical connection, while $M_{1}$ and $M_{2}$ – and hence $T^{*} M_{1}$ and $T^{*} M_{2}$ – are not homeomorphic. In the context of geometric quantization, we interpret these examples as magnetic fields which are quantum equivalent but not classically equivalent....