Berezin-Toeplitz quantization for eigenstates of the Bochner-Laplacian on symplectic manifolds
classification
🧮 math.DG
keywords
quantizationberezin-toeplitzcorrespondingeigenstatesspacesymplecticbehaviorbochner
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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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