Local scaling asymptotics in phase space and time in Berezin–Toeplitz quantization

DOI10.1142/S0129167X14500608zbMath1296.53162arXiv1308.3056OpenAlexW2963640427MaRDI QIDQ2874687

Roberto Paoletti

Publication date: 8 August 2014

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.3056

zbMATH Keywords

Toeplitz operatorsHamiltonian flowsBerezin-Toeplitz quantizationSzegö kernelpositive line bundlelocal scaling asymptotics

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (1)

Central limit theorem for spectral partial Bergman kernels

Cites Work

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• Universality and scaling of correlations between zeros on complex manifolds
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• Holomorphic Morse inequalities and Bergman kernels
• Coherent states and projective representation of the linear canonical transformations
• The Spectral Theory of Toeplitz Operators. (AM-99)
• Convexity and Commuting Hamiltonians
• Corrigenda to: Introduction to Symplectic Topology
• SCALING ASYMPTOTICS FOR QUANTIZED HAMILTONIAN FLOWS

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