Complexified quantum rules
Conformally equivariant quantization : existence and uniqueness
We prove the existence and the uniqueness of a conformally equivariant symbol calculus and quantization on any conformally flat pseudo-riemannian manifold . In other words, we establish a canonical isomorphism between the spaces of polynomials on and of differential operators on tensor densities over , both viewed as modules over the Lie algebra where . This quantization exists for generic values of the weights of the tensor densities and we compute the critical values of the weights yielding...
Contractions of to the Heisenberg group and Berezin calculus. (Contraction de vers le groupe de Heisenberg et calcul de Berezin.)
Convexity Properties of the Moment Mapping.
Convexity properties of the moment mapping. II.
Convexity properties of the moment mapping. III.
Covariant star-products
Deformation quantization
Déformations d'algèbres associées à une variété symplectique, une construction effective
Deformations of the algebra of functions on hermitian symmetric spaces resulting from quantization
Deformations of vector fields and canonical coordinates on coadjoint orbits.
Degeneration of Riemann surfaces and intermediate polarization of the moduli space of flat connections.
Détermination et construction nouvelle du cercle qui coupe trois cercles sous trois angles donnés et de la sphère qui coupe quatre sphères sous des angles donnés
Differential geometry of canonical quantization
Distribution of matrix elements and level spacings for classically chaotic systems
Dva vzorce pro krychlový obsah čtyrstěnu
Equivariant deformation quantization for the cotangent bundle of a flag manifold
Let be a (generalized) flag manifold of a complex semisimple Lie group . We investigate the problem of constructing a graded star product on which corresponds to a -equivariant quantization of symbols into twisted differential operators acting on half-forms on . We construct, when is generated by the momentum functions for , a preferred choice of where has the form . Here are operators on . In the known examples, () is not a differential operator, and so the star product ...
Errata : «Classification géométrique des structures internes des systèmes dynamiques à 2 spins»
Explicit Solutions of Classical Generalized Toda Models.
Extensions of symplectic groupoids and quantization.