辛流形上Bochner-Laplacian特征态的Berezin-Toeplitz量子化
微分几何
2017-03-21 v1
摘要
我们研究Berezin-Toeplitz量子化，使用重整化Bochner-Laplacian对应于原点附近局域化特征值的特征态空间作为量子空间，背景为辛流形。我们证明该量子化具有正确的半经典行为，并构造了相应的星积。
引用
@article{arxiv.1703.06420,
title = {Berezin-Toeplitz quantization for eigenstates of the Bochner-Laplacian on symplectic manifolds},
author = {Louis Ioos and Wen Lu and Xiaonan Ma and George Marinescu},
journal= {arXiv preprint arXiv:1703.06420},
year = {2017}
}
备注
25 pages. arXiv admin note: text overlap with arXiv:0806.2370