Berezin–Toeplitz Quantization for Eigenstates of the Bochner Laplacian on Symplectic Manifolds

被引：1
|
作者：
Louis Ioos
Wen Lu
Xiaonan Ma
George Marinescu
机构：
[1] Université Paris Diderot - Paris 7,Institut de Mathématiques de Jussieu–Paris Rive Gauche, UFR de Mathématiques
[2] Huazhong University of Science and Technology,School of Mathematics and Statistics
[3] Huazhong University of Science and Technology,Hubei Key Laboratory of Engineering Modeling and Scientific Computing
[4] Universität zu Köln,Mathematisches Institut
[5] Romanian Academy,Institute of Mathematics ‘Simion Stoilow’
来源：
The Journal of Geometric Analysis | 2020年 / 30卷
关键词：
Toeplitz operator; Berezin-Toeplitz quantization; Generalized Bergman kernel; Bochner Laplacian; 53D50; 81S10; 47B35; 58J20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the Berezin–Toeplitz quantization using as quantum space the space of eigenstates of the renormalized Bochner Laplacian corresponding to eigenvalues localized near the origin on a symplectic manifold. We show that this quantization has the correct semiclassical behavior and construct the corresponding star-product.
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页码：2615 / 2646
页数：31
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