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.

引用

页码：2615 / 2646

页数：31

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