Involutions on the algebra of physical observables from reality conditions

DOI10.1063/1.531383zbMath0880.46051arXivgr-qc/9506038OpenAlexW3102646956MaRDI QIDQ5284369

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Publication date: 8 February 1998

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9506038

zbMATH Keywords

algebraic quantizationfirst-class constraintsalgebra of quantum operatorsalgebra of physical observablesinvolution equivalence classesquantum observables modulo constraints

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Geometry and quantization, symplectic methods (81S10) Applications of functional analysis in quantum physics (46N50)

Related Items (1)

The \(\mathrm{SL}(2,\mathbb R)\) totally constrained model: three quantization approaches

Cites Work

• On the relation between classical and quantum observables
• The reduced phase space of spherically symmetric Einstein-Maxwell theory including a cosmological constant.
• Unique determination of an inner product by adjointness relations in the algebra of quantum observables
• An algebraic extension of Dirac quantization: Examples

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