中文版 | English
Title

A geometric construction of representations of the Berezin-Toeplitz quantization

Author
Corresponding AuthorChan,Kwokwai
Publication Years
2022
DOI
Source Title
ISSN
1095-0761
EISSN
1095-0753
Volume26Issue: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 TypeJournal Article
Identifierhttp://kc.sustech.edu.cn/handle/2SGJ60CL/411865
DepartmentInstitute for Quantum Science and Engineering
理学院_物理系
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.
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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