Quantum Effects of an Extra Compact Dimension on the Wave Function of the Universe

dc.creatorPeng, Guowen
dc.creatorLiu, Hongya
dc.creatorZhang, Qiuyang
dc.date2001-11-20
dc.date2002-04-10
dc.date.accessioned2026-07-25T17:02:45Z
dc.descriptionWe 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 $P_{5}$ 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.
dc.description10 pages, no figures; to appear in Int. J. Theor. Phys. (2002)
dc.identifierhttps://arxiv.org/abs/gr-qc/0111062
dc.identifierhttp://arxiv.org/abs/gr-qc/0111062
dc.identifierInt.J.Theor.Phys. 41 (2002) 1127-1133
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/45249
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleQuantum Effects of an Extra Compact Dimension on the Wave Function of the Universe
dc.typetext

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