Generalized affine coherent states: A natural framework for the quantization of metric-like variables

DOI10.1063/1.1286033zbMath0970.81034arXivquant-ph/0001026OpenAlexW2008992883MaRDI QIDQ2731819

John R. Klauder, Glenn Watson

Publication date: 30 July 2001

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0001026

zbMATH Keywords

quantum gravitypath-integral formulations

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Coherent states (81R30) Geometry and quantization, symplectic methods (81S10)

Related Items (5)

DUALITY AND THE EQUIVALENCE PRINCIPLE OF QUANTUM MECHANICS ⋮ Noncanonical quantization of gravity. II. Constraints and the physical Hilbert space ⋮ Wehrl-type coherent state entropy inequalities for \(\mathrm{SU}(1,1)\) and its \(AX+B\) subgroup ⋮ The quantum mechanics of affine variables ⋮ Recent results regarding affine quantum gravity

Cites Work

• A group theoretical approach to the canonical quantisation of gravity. I. Construction of the canonical group
• A group theoretical approach to the canonical quantisation of gravity. II. Unitary representations of the canonical group
• Noncanonical quantization of gravity. I. Foundations of affine quantum gravity
• Wiener measures for path integrals with affine kinematic variables

This page was built for publication: Generalized affine coherent states: A natural framework for the quantization of metric-like variables