Singular Bohr-Sommerfeld Conditions for 1D Toeplitz Operators: Elliptic Case

DOI10.1080/03605302.2013.845045zbMath1305.58017arXiv1209.6340OpenAlexW2044888398MaRDI QIDQ5413810

Yohann Le Floch

Publication date: 2 May 2014

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.6340

zbMATH Keywords

spectral theoryToeplitz operatorssemiclassical analysis

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Geometry and quantization, symplectic methods (81S10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Geometric quantization (53D50) Holomorphic bundles and generalizations (32L05)

Related Items (5)

Symplectic geometry and spectral properties of classical and quantum coupled angular momenta ⋮ Semiclassical spectral analysis of Toeplitz operators on symplectic manifolds: the case of discrete wells ⋮ Uniform spectral asymptotics for semiclassical wells on phase space loops ⋮ Open problems, questions and challenges in finite- dimensional integrable systems ⋮ Low-energy spectrum of Toeplitz operators: the case of wells

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