Semi-classical properties of Berezin–Toeplitz operators with $\mathscr {C}^k$Ck-symbol

DOI10.1063/1.4870869zbMath1296.81039arXiv1310.3571OpenAlexW3099831139MaRDI QIDQ5171319

George Marinescu, Xiaonan Ma, Tatyana Barron, Martin Pinsonnault

Publication date: 26 July 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.3571

zbMATH Keywords

Toeplitz operatorsymplectic manifoldBerezin-Toeplitz quantization

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Geometry and quantization, symplectic methods (81S10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Deformation quantization, star products (53D55)

Related Items (7)

Toeplitz Operators with Discontinuous Symbols on the Sphere ⋮ Geometric quantization results for semi-positive line bundles on a Riemann surface ⋮ Sharp correspondence principle and quantum measurements ⋮ BEREZIN–TOEPLITZ QUANTIZATION, HYPERKÄHLER MANIFOLDS, AND MULTISYMPLECTIC MANIFOLDS ⋮ Multisymplectic structures induced by symplectic structures ⋮ Inferring topology of quantum phase space ⋮ A product expansion for Toeplitz operators on the Fock space

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