Wave Function of the Universe and Its Meaning
arXiv:gr-qc/0308029 · doi:10.1023/B:CJOP.0000014373.58075.95
Abstract
For a FRW-spacetime coupled to an arbitrary real scalar field, we endow the solution space of the associated Wheeler-DeWitt equation with a Hilbert-space structure, construct the observables, and introduce the physical wave functions of the universe that admit a genuine probabilistic interpretation. We also discuss a proposal for the formulation of the dynamics. The approach to quantum cosmology outlined in this article is based on the results obtained within the theory of pseudo-Hermitian operators.
9 pages, contributed to the First International Workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics, held in Prag June 2003