Hilbert Space of Wormholes in 1+1 Dimensionl Gravitation Theory

摘要

In this paper, we study the complete quantization of the homogeneous isotropic closed universe and prove that 1+1 dimensional quantum wormholes can be invested with a Hilbert-space structure, the inner product being naturally induced by the mini-superspace metric. The results indicate that the physical Hilbert space is separable by constructing a discrete orthonormal basic of wormhole solution.