Phys. Rev. D 62, 104021 (2000) [6 pages]Q̂ operator for canonical quantum gravityReceived 26 May 2000; published 24 October 2000 We study the properties of the Q̂[ω] operator on the kinematical Hilbert space H for canonical quantum gravity. Its complete spectrum with respect to the spin network basis is obtained. It turns out that Q̂[ω] is diagonalized in this basis, and it is a well defined self-adjoint operator on H. The same conclusions are also tenable on the SU(2) gauge invariant Hilbert space with the gauge invariant spin network basis. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.62.104021
DOI:
10.1103/PhysRevD.62.104021
PACS:
04.60.Ds, 04.20.Cv
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