Geometric quantization: Modular reduction theory and coherent states

DOI10.1063/1.527271zbMath0615.58009OpenAlexW2006351383MaRDI QIDQ4722873

Gérard G. Emch, Syed Twareque Ali

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1063/1.527271

zbMATH Keywords

coherent statesgeometric quantizationprequantizationmodular algebra

Mathematics Subject Classification ID

Coherent states (81R30) Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50)

Related Items (12)

Mathematical problems of stochastic quantum mechanics: Harmonic analysis on phase space and quantum geometry ⋮ Localization of the photon on phase space ⋮ Quantum and semiclassical representations over Lagrangian submanifolds in su(2)*, so(4)*, and su(1,1)* ⋮ Quantization is geometry, after all ⋮ QUANTIZATION METHODS: A GUIDE FOR PHYSICISTS AND ANALYSTS ⋮ Quantum fields for reproducing kernel Hilbert spaces ⋮ Modular algebras in geometric quantization ⋮ Quantization of a classical system on a coadjoint orbit of the Poincaré group in 1+1 dimensions ⋮ Coherent transform of the spectral problem and algebras with nonlinear commutation relations. ⋮ Unnamed Item ⋮ Coherent states over symplectic homogeneous spaces ⋮ Some physical appearances of vector coherent states and coherent states related to degenerate Hamiltonians

Cites Work

• Extended harmonic analysis of phase space representations for the Galilei group
• Prequantization and KMS structures
• Generalized K-flows
• Coherent states for arbitrary Lie group
• Quantum and classical mechanics on homogeneous Riemannian manifolds
• Hamiltonian Systems and Transformation in Hilbert Space
• Continuous-Representation Theory. I. Postulates of Continuous-Representation Theory

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