| Title | A geometric construction of representations of the Berezin-Toeplitz quantization |
| Author | |
| Corresponding Author | Chan，Kwokwai |
| Publication Years | 2022
|
| DOI | |
| Source Title | |
| ISSN | 1095-0761
|
| EISSN | 1095-0753
|
| Volume | 26Issue:1Pages:1-36 |
| Abstract | For a Kähler manifold X equipped with a prequantum line bundle L, we give a geometric construction of a family of representations of the Berezin-Toeplitz deformation quantization algebra (Formula Presented) parametrized by points z∈ X. The key idea is to use peak sections to suitably localize the Hilbert spaces (Formula Presented) around z0 in the large volume limit. |
| URL | [Source Record] |
| Language | English
|
| SUSTech Authorship | Others
|
| Scopus EID | 2-s2.0-85141798179
|
| Data Source | Scopus
|
| Citation statistics |
Cited Times [WOS]:0
|
| Document Type | Journal Article |
| Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/411865 |
| Department | Department of Physics 量子科学与工程研究院 |
| Affiliation | 1.The Chinese University of Hong Kong,Shatin,Hong Kong 2.The Institute of Mathematical Sciences,and Department of Mathematics,The Chinese University of Hong Kong,Shatin,Hong Kong 3.Shenzhen Institute for Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen,518055,China |
| Recommended Citation GB/T 7714 |
Chan，Kwokwai,Leung，Naichung Conan,Li，Qin. A geometric construction of representations of the Berezin-Toeplitz quantization[J]. Advances in Theoretical and Mathematical Physics,2022,26(1):1-36.
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| APA |
Chan，Kwokwai,Leung，Naichung Conan,&Li，Qin.(2022).A geometric construction of representations of the Berezin-Toeplitz quantization.Advances in Theoretical and Mathematical Physics,26(1),1-36.
|
| MLA |
Chan，Kwokwai,et al."A geometric construction of representations of the Berezin-Toeplitz quantization".Advances in Theoretical and Mathematical Physics 26.1(2022):1-36.
|
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