dorsal/arxiv
View SchemaBerezin-Toeplitz Quantization of compact Kaehler manifolds
| Authors | Martin Schlichenmaier |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9601016 |
| URL | https://arxiv.org/abs/q-alg/9601016 |
Abstract
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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"abstract": "Invited lecture at the XIV-th workshop on geometric methods in physics,\nBialowieza, Poland, July 9-15, 1995. In this lecture results are reviewed\nobtained by the author together with Martin Bordemann and Eckhard Meinrenken on\nthe Berezin-Toeplitz quantization of compact Kaehler manifolds. Using global\nToeplitz operators, approximation results for the quantum operators are shown.\nFrom them it follows that the quantum operators have the correct classical\nlimit. A star product deformation of the Poisson algebra is constructed.",
"arxiv_id": "q-alg/9601016",
"authors": [
"Martin Schlichenmaier"
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"title": "Berezin-Toeplitz Quantization of compact Kaehler manifolds",
"url": "https://arxiv.org/abs/q-alg/9601016"
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