ON GROUP AVERAGING FOR SO(n, 1)

DOI10.1142/S0218271899000365zbMath1043.81598arXivgr-qc/9902069OpenAlexW3103906823WikidataQ62398209 ScholiaQ62398209MaRDI QIDQ2710995

Donald Marolf, Andrés Gomberoff

Publication date: 2 May 2001

Published in: International Journal of Modern Physics D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9902069

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) General quantum mechanics and problems of quantization (81S99)

Related Items (8)

Spin networks for noncompact groups ⋮ Group averaging in the (p,q) oscillator representation of SL(2,R) ⋮ Constrained dynamics and quantum gravity ⋮ REFINED ALGEBRAIC QUANTIZATION WITH THE TRIANGULAR SUBGROUP OFSL(2, ℝ) ⋮ Refined algebraic quantisation in a system with nonconstant gauge invariant structure functions ⋮ Deformation quantization of constrained systems: a group averaging approach ⋮ Supergravity on a three-torus: quantum linearization instabilities with a supergroup ⋮ Constraint rescaling in refined algebraic quantisation: Momentum constraint

Cites Work

• Coherent state quantization of constraint systems
• Rieffel induction as generalized quantum Marsden-Weinstein reduction
• Quantum observables and recollapsing dynamics
• Dirac and reduced quantization: A Lagrangian approach and application to coset spaces
• Almost ideal clocks in quantum cosmology: a brief derivation of time
• Quantization of diffeomorphism invariant theories of connections with local degrees of freedom

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