THE VOLUME OPERATOR IN DISCRETIZED QUANTUM GRAVITY
General Relativity and Quantum Cosmology
2009-10-28 v1 High Energy Physics - Theory
Abstract
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.
Cite
@article{arxiv.gr-qc/9506014,
title = {THE VOLUME OPERATOR IN DISCRETIZED QUANTUM GRAVITY},
author = {R. Loll},
journal= {arXiv preprint arXiv:gr-qc/9506014},
year = {2009}
}
Comments
15 pages, TeX, 3 figures (postscript, compressed and uu-encoded), May 95