Berezin-Toeplitz Quantization of compact Kaehler manifolds
Schlichenmaier, Martin
arXiv, 9601016 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1996-01-18
Classification:  Mathematics - Quantum Algebra,  Mathematical Physics,  Mathematics - Algebraic Geometry,  Mathematics - Differential Geometry,  Mathematics - Functional Analysis 
@article{9601016,
     author = {Schlichenmaier, Martin},
     title = {Berezin-Toeplitz Quantization of compact Kaehler manifolds},
     journal = {arXiv},
     volume = {1996},
     number = {0},
     year = {1996},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9601016}
}

Schlichenmaier, Martin. Berezin-Toeplitz Quantization of compact Kaehler manifolds. arXiv, Tome 1996 (1996) no. 0, . http://gdmltest.u-ga.fr/item/9601016/