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$\hat{Q}$ operator for canonical quantum gravity

Yongge Ma·Yi Ling
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Abstract

We study the properties of $\hat{Q}[ω]$ operator on the kinematical Hilbert space ${\cal H}$ for canonical quantum gravity. Its complete spectrum with respect to the spin network basis is obtained. It turns out that $\hat{Q}[ω]$ is diagonalized in this basis, and it is a well defined self-adjoint operator on ${\cal H}$. The same conclusions are also tenable on the SU(2) gauge invariant Hilbert space with the gauge invariant spin network basis.

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BibTeXRIS

Yongge Ma, Yi Ling. 2000-10-24. $\hat{Q}$ operator for canonical quantum gravity. https://doi.org/10.1103/physrevd.62.104021

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