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.
- Berezin-Toeplitz quantization
- Bochner Laplacian
- Generalized Bergman kernel
- Toeplitz operator