Berezin-Toeplitz quantization for eigenstates of the Bochner-Laplacian on symplectic manifolds
Differential Geometry
2017-03-21 v1
Abstract
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.
Keywords
Cite
@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}
}
Comments
25 pages. arXiv admin note: text overlap with arXiv:0806.2370