Toeplitz operators, deformations, and asymptotics

DOI10.1016/j.geomphys.2006.06.007zbMath1107.53062OpenAlexW2012221202MaRDI QIDQ864841

Tatyana Barron

Publication date: 13 February 2007

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2006.06.007

zbMATH Keywords

quantizationLie algebrasToeplitz operatorssemi-classical limitKähler manifoldsline bundles

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Geometric quantization (53D50)

Cites Work

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• Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits
• Invariant identities in the Heisenberg algebra
• Quasi-classical limit in \(q\)-deformed systems, non-commutativity and the \(q\)-path integral.
• q-OSCILLATORS, NON-KÄHLER MANIFOLDS AND CONSTRAINED DYNAMICS
• The Spectral Theory of Toeplitz Operators. (AM-99)
• Quantum and classical mechanics of q-deformed systems
• Geometric Quantization and No Go Theorems
• Quantization and unitary representations

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