Wave packets and initial conditions in quantum cosmology

Details Wave packets and initial conditions in quantum cosmology Wave packets and initial conditions in quantum cosmology

2000-06-27

arxiv.org/abs/gr-qc/0006094v1

Phys.Lett. A272 (2000) 304-312

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, 12 eps figures, to appear in Phys. Lett. A

Scientific paper

10.1016/S0375-9601(00)00443-6

We discuss the construction of wave packets resulting from the solutions of a class of Wheeler-DeWitt equations in Robertson-Walker type cosmologies. We present an ansatz for the initial conditions which leads to a unique determination of the expansion coefficients in the construction of the wave packets with probability distributions which, in an interesting contrast to some of the earlier works, agree well with all possible classical paths. The possible relationship between these initial conditions and signature transition in the context of classical cosmology is also discussed.

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