Berezin-Toeplitz Quantization of compact Kaehler manifolds

Details Berezin-Toeplitz Quantization of compact Kaehler manifolds Berezin-Toeplitz Quantization of compact Kaehler manifolds

1996-01-18

arxiv.org/abs/q-alg/9601016v2

Physics

Mathematical Physics

Amstex 2.1, 15 pages, minor changes, some annoying typos removed and 2 references added

Scientific paper

Invited lecture at the XIV-th workshop on geometric methods in physics, Bialowieza, Poland, July 9-15, 1995. In this lecture results are reviewed obtained by the author together with Martin Bordemann and Eckhard Meinrenken on the Berezin-Toeplitz quantization of compact Kaehler manifolds. Using global Toeplitz operators, approximation results for the quantum operators are shown. From them it follows that the quantum operators have the correct classical limit. A star product deformation of the Poisson algebra is constructed.

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