2001/11/30 by Guowen Peng, Hongya Liu, Qiuyang Zhang
Physics and Astronomy · #gr-qc #hep-th
published as Int.J.Theor.Phys. 41 (2002) 1127-1133 · 10 pages, no figures; to appear in Int. J. Theor. Phys. (2002)
arxiv created 2002/04/10 · arxiv updated 2009/11/30
We extend the direct quantum approach of the standard FRW cosmology from 4D to 5D and obtain a Hamiltonian formulation for a wave-like 5D FRW cosmology. Using a late-time approximation we isolate out a y-part from the full wave function of the 5D Universe. Then we find that the compactness of the fifth dimension y yields a quantized spectrum for the momentum P5 along the fifth dimension, and we show that the whole space-part of the wave function of the 5D Universe satisfies a two-dimensional Schrödinger equation.