Chaos and Semiclassical Limit in Quantum Cosmology

Details Chaos and Semiclassical Limit in Quantum Cosmology Chaos and Semiclassical Limit in Quantum Cosmology

1994-11-16

arxiv.org/abs/gr-qc/9411045v1

Phys.Rev. D51 (1995) 6821-6828

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages in LaTex (RevTex), 6 figures

Scientific paper

10.1103/PhysRevD.51.6821

In this paper we present a Friedmann-Robertson-Walker cosmological model conformally coupled to a massive scalar field where the WKB approximation fails to reproduce the exact solution to the Wheeler-DeWitt equation for large Universes. The breakdown of the WKB approximation follows the same pattern than in semiclassical physics of chaotic systems, and it is associated to the development of small scale structure in the wave function. This result puts in doubt the ``WKB interpretation'' of Quantum Cosmology.

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