Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1995-06-07
Phys.Rev.Lett. 75 (1995) 3048-3051
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
15 pages, TeX, 3 figures (postscript, compressed and uu-encoded), May 95
Scientific paper
10.1103/PhysRevLett.75.3048
We investigate the spectral properties of the volume operator in quantum gravity in the framework of a previously introduced lattice discretization. The presence of a well-defined scalar product in this approach permits us to make definite statements about the hermiticity of quantum operators. We find that the spectrum of the volume operator is discrete, but that the nature of its eigenstates differs from that found in an earlier continuum treatment.
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