Unique determination of an inner product by adjointness relations in the algebra of quantum observables

DOI10.1088/0264-9381/10/11/009zbMath0803.46087arXivgr-qc/9303026OpenAlexW1997743354MaRDI QIDQ4280448

Alan D. Rendall

Publication date: 1 March 1994

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9303026

zbMATH Keywords

quantization of gravityalgebra of quantum observablesirreducible *- representationrepresentation of a *-algebra on a vector space

Mathematics Subject Classification ID

Representations of topological algebras with involution (46K10) Characterizations of Hilbert spaces (46C15) Quantization of the gravitational field (83C45) Axiomatic quantum field theory; operator algebras (81T05) Applications of functional analysis in quantum physics (46N50)

Related Items (4)

Involutions on the algebra of physical observables from reality conditions ⋮ An algebraic extension of Dirac quantization: Examples ⋮ From black holes to white holes: a quantum gravitational, symmetric bounce ⋮ The \(\mathrm{SL}(2,\mathbb R)\) totally constrained model: three quantization approaches

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