Fractional exponential decay in the forbidden region for Toeplitz operators

DOI10.25537/dm.2020v25.1315-1351zbMath1452.32021arXiv2001.07921MaRDI QIDQ2205219

Alix Deleporte

Publication date: 20 October 2020

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.07921

zbMATH Keywords

Berezin-Toeplitz operatorscompact quantizable Kähler manifolds

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum equilibrium statistical mechanics (general) (82B10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Bergman spaces of functions in several complex variables (32A36) Compact Kähler manifolds: generalizations, classification (32J27) Heat kernels in several complex variables (32W30)

Related Items (2)

Analytic Bergman operators in the semiclassical limit ⋮ Toeplitz operators with analytic symbols

Cites Work

• Quantization of compact symplectic manifolds
• Width of shape resonances for non globally analytic potentials
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• Pointwise bounds for Steklov eigenfunctions
• Entanglement entropy and Berezin-Toeplitz operators
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• Central limit theorem for spectral partial Bergman kernels
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• The classical limit of quantum spin systems
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Asymptotics of almost holomorphic sections of ample line bundles on symplectic manifolds
• The Spectral Theory of Toeplitz Operators. (AM-99)
• Semiclassical WKB problem for the non-self-adjoint Dirac operator with analytic potential
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• An introduction to semiclassical and microlocal analysis
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