Abstract
We study the properties of the operator on the kinematical Hilbert space for canonical quantum gravity. Its complete spectrum with respect to the spin network basis is obtained. It turns out that is diagonalized in this basis, and it is a well defined self-adjoint operator on The same conclusions are also tenable on the gauge invariant Hilbert space with the gauge invariant spin network basis.
- Received 26 May 2000
DOI:https://doi.org/10.1103/PhysRevD.62.104021
©2000 American Physical Society