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  • 标题:Berezin-Toeplitz Quantization for Compact Kähler Manifolds. A Review of Results
  • 本地全文:下载
  • 作者:Martin Schlichenmaier
  • 期刊名称:Advances in Mathematical Physics
  • 印刷版ISSN:1687-9120
  • 电子版ISSN:1687-9139
  • 出版年度:2010
  • 卷号:2010
  • DOI:10.1155/2010/927280
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This article is a review on Berezin-Toeplitz operator and Berezin-Toeplitz deformation quantization for compact quantizable Kähler manifolds. The basic objects, concepts, and results are given. This concerns the correct semiclassical limit behaviour of the operator quantization, the unique Berezin-Toeplitz deformation quantization (star product), covariant and contravariant Berezin symbols, and Berezin transform. Other related objects and constructions are also discussed.
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