On Fedosov's approach to deformation quantization with separation of variables

Details On Fedosov's approach to deformation quantization with separation of variables On Fedosov's approach to deformation quantization with separation of variables

1999-03-05

arxiv.org/abs/math/9903031v2

Mathematics

Quantum Algebra

11 pages, plain latex file, minor corrections and additions made

Scientific paper

The description of all deformation quantizations with separation of variables on a Kaehler manifold obtained in our earlier paper is used to identify the Fedosov star-product of Wick type constructed by M. Bordemann and S. Waldmann. This star-product is shown to be the one with separation of variables which corresponds to the trivial deformation of the Kaehler form. To this end a formal Fock bundle on a Kaehler manifold is introduced and an associative multiplication on its sections is defined.

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