Quantization of singular systems and incomplete motions
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
The need for a mathematically rigorous quantization procedure of singular spaces and incomplete motions is pointed out in connection with quantum cosmology. We put our previous suggestion for such a procedure, based on the theory of induced representations of C*-algebras, in the light of L. Schwartz' theory of Hilbert subspaces. This turns out to account for the freedom in the induction procedure, at the same time providing a basis for generalized eigenfunction expansions pertinent to the needs of quantum cosmology. Reinforcing our previous proposal for the wave-function of the Universe, we are now able to add a concrete prescription for its calculation.
Cite
@article{arxiv.gr-qc/9807069,
title = {Quantization of singular systems and incomplete motions},
author = {N. P. Landsman},
journal= {arXiv preprint arXiv:gr-qc/9807069},
year = {2007}
}
Comments
8 pages