Constrained quantization on symplectic manifolds and quantum distribution functions

DOI10.1063/1.532052zbMath0878.58034arXivhep-th/9606162OpenAlexW2051294496MaRDI QIDQ4345143

G. P. Dzhordzhadze

Publication date: 17 December 1997

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

Full work available at URL: https://arxiv.org/abs/hep-th/9606162

zbMATH Keywords

scalar productBerezin quantizationgeneralized coherent statesconstrained quantizationreduced Hilbert spacequantum distribution

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Geometric quantization (53D50)

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Cites Work

• General concept of quantization
• Die Eindeutigkeit der Schrödingerschen Operatoren
• BFV approach to geometric quantization
• BFV quantization on Hermitian symmetric spaces
• A new look at the Dirac quantization conditions
• On the Quantum Correction For Thermodynamic Equilibrium
• Quantization scheme based on the extension of phase space
• An algebraic extension of Dirac quantization: Examples
• Minimum Uncertainty Product, Number-Phase Uncertainty Product, and Coherent States
• Theory of Longitudinal Photons in Quantum Electrodynamics

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