On Fedosov's approach to deformation quantization with separation of variables
Quantum Algebra
2007-05-23 v2 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math/9903031,
title = {On Fedosov's approach to deformation quantization with separation of variables},
author = {Alexander V. Karabegov},
journal= {arXiv preprint arXiv:math/9903031},
year = {2007}
}
Comments
11 pages, plain latex file, minor corrections and additions made