Berezin-Toeplitz quantization and naturally defined star products for Kähler manifolds
DOI10.1007/s13324-018-0225-9zbMath1436.53003OpenAlexW2797575094MaRDI QIDQ1755674
Publication date: 11 January 2019
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: http://orbilu.uni.lu/handle/10993/37353
connectionsdifferential geometrycoherent statesKähler manifoldsgeometric quantizationcomplex line bundlesBerezin-Toeplitz operators
Kähler manifolds (32Q15) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Geometric quantization (53D50) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Holomorphic bundles and generalizations (32L05)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- General concept of quantization
- An invariant formula for a star product with separation of variables
- Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds
- Berezin-Toeplitz quantization for compact Kähler manifolds. A review of results
- An explicit formula for the Berezin star product
- A closed formula for the asymptotic expansion of the Bergman kernel
- Weyl manifolds and deformation quantization
- Semi-classical properties of geometric quantization with metaplectic correction
- Deformation quantization and asymptotic operator representation
- Deformation theory and quantization. I: Deformations of symplectic structures
- Deformation theory and quantization. II: Physical applications
- Quantization of Kähler manifolds. III
- Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits
- A simple geometrical construction of deformation quantization
- A Fedosov star product of the Wick type for Kähler manifolds
- Cohomological classification of deformation quantizations with separation of variables
- Berezin--Toeplitz operators, a semi-classical approach
- Universality of Fedosov's construction for star products of Wick type on pseudo-Kähler manifolds
- Existence of a closed star product
- Weighted Bergman kernels and quantization
- Deformation quantization of Poisson manifolds
- Quantization of Kähler manifolds. IV
- Deformation quantizations with separation of variables on a Kähler manifold
- A universal formula for deformation quantization on Kähler manifolds
- Quantization of Kähler manifolds. I: Geometric interpretation of Berezin's quantization
- Identification of Berezin-Toeplitz deformation quantization
- Berezin-Toeplitz quantization and its kernel expansion
- Berezin–Toeplitz quantization on Kähler manifolds
- The Spectral Theory of Toeplitz Operators. (AM-99)
- QUANTIZATION
- QUANTIZATION IN COMPLEX SYMMETRIC SPACES
- COHERENT STATES AND KAHLER MANIFOLDS
- The asymptotics of a Laplace integral on a Kähler manifold
- Quantization of Kahler Manifolds. II
- Generalized Bergman kernels and geometric quantization
- Berezin-Toeplitz quantization and star products for compact Kähler manifolds
- Geometric quantization of vector bundles and the correspondence with deformation quantization
This page was built for publication: Berezin-Toeplitz quantization and naturally defined star products for Kähler manifolds
