Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1992-12-16
Phys.Rev.D47:4443-4457,1993
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
31 pages, 7 figures(available on request)
Scientific paper
10.1103/PhysRevD.47.4443
We consider the quantum evolution of the space-independent mode of a $\lambda {\phi}^4$ theory as a minisuperspace in the space of all $\phi$. The motion of the wave packet in the minisuperspace is then compared to the motion of a wave packet in a larger minisuperspace consisting of the original minisuperspace plus one space-dependent mode. By comparing the motion of the two packets we develop criteria that tell us when the quantum evolution in the space-independent minisuperspace gives us useful information about the true evolution in the larger minisuperspace. These criteria serve as a toy model for similar(but much more complex) criteria that will tell us whether or when quantized gravitational minisuperspaces can possibly give any useful information about quantum gravity.
Rosenbaum Marcos
Ryan Michael P.
Sinha Sukanya
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