Quantization: Towards a comparison between methods

DOI10.1063/1.527681zbMath0639.58035OpenAlexW1991638471MaRDI QIDQ3780165

Gijs M. Tuynman

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527681

zbMATH Keywords

Laplace-de Rham operatorgeometric quantization applied to Kähler manifolds

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50)

Related Items (15)

Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits ⋮ QUANTIZATION METHODS: A GUIDE FOR PHYSICISTS AND ANALYSTS ⋮ Supercoherent states, super-Kähler geometry and geometric quantization ⋮ Coherent states in geometric quantization ⋮ Sharp correspondence principle and quantum measurements ⋮ Hitchin's connection, Toeplitz operators, and symmetry invariant deformation quantization ⋮ Holomorphic factorization for a quantum tetrahedron ⋮ Schwinger terms from geometric quantization of field theories ⋮ Asymptotic properties of the quantum representations of the mapping class group ⋮ Geometric quantization of symplectic maps and Witten's asymptotic conjecture ⋮ \(gl(\infty{})\) and geometric quantization ⋮ Holomorphic curves from matrices ⋮ Balanced metrics for Kähler-Ricci solitons and quantized Futaki invariants ⋮ Deformation quantization and geometric quantization of Abelian moduli spaces ⋮ Quantized Nambu–Poisson manifolds and n-Lie algebras

Cites Work

• General concept of quantization
• *-products on \(D^ 1(C)\), \(S^ 2\) and related spectral analysis
• Hyperfine interaction in a classical hydrogen atom and geometric quantization
• *-products on some Kähler manifolds
• Invariant star products and representations of compact semisimple Lie groups
• QUANTIZATION
• QUANTIZATION IN COMPLEX SYMMETRIC SPACES
• Generalized Bergman kernels and geometric quantization
• On Representations Associated to the Minimal Nilpotent Coadjoint Orbit of SL (3, R)

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