Berezin-Toeplitz quantization for eigenstates of the Bochner Laplacian on symplectic manifolds
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Publication:2187689
DOI10.1007/S12220-017-9977-YzbMath1442.53061arXiv1703.06420OpenAlexW2739145218MaRDI QIDQ2187689
Wen Lu, Louis Ioos, Xiaonan Ma, George Marinescu
Publication date: 3 June 2020
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.06420
Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Index theory and related fixed-point theorems on manifolds (58J20) Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50)
Related Items (12)
Berezin-Toeplitz quantization associated with higher Landau levels of the Bochner Laplacian ⋮ The Berezin transform and its applications ⋮ Geometric quantization of Hamiltonian flows and the Gutzwiller trace formula ⋮ Semiclassical spectral analysis of Toeplitz operators on symplectic manifolds: the case of discrete wells ⋮ The spectral density function of the renormalized Bochner Laplacian on a symplectic manifold ⋮ Spectral aspects of the Berezin transform ⋮ From Local Index Theory to Bergman Kernel: A Heat Kernel Approach ⋮ Geometric quantization of symplectic maps and Witten's asymptotic conjecture ⋮ Semiclassical spectral analysis of the Bochner-Schrödinger operator on symplectic manifolds of bounded geometry ⋮ On asymptotic expansions of generalized Bergman kernels on symplectic manifolds ⋮ Berezin-Toeplitz quantization on symplectic manifolds of bounded geometry ⋮ Quantization and isotropic submanifolds
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