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arXiv · 1703.06420

Berezin-Toeplitz quantization for eigenstates of the Bochner-Laplacian on symplectic manifolds

Louis Ioos·Wen Lu·Xiaonan Ma·George Marinescu
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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.

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Louis Ioos, Wen Lu, Xiaonan Ma, George Marinescu. 2017-03-19. Berezin-Toeplitz quantization for eigenstates of the Bochner-Laplacian on symplectic manifolds. https://arxiv.org/abs/1703.06420

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