Wave packets and initial conditions in quantum cosmology

TL;DR

This paper constructs wave packets in quantum cosmology using a new initial condition ansatz that aligns well with classical paths and explores their relation to signature transition in classical cosmology.

Contribution

It introduces a novel ansatz for initial conditions in Wheeler-DeWitt solutions, ensuring wave packets match classical trajectories and discusses their link to signature transition.

Findings

Wave packets constructed with the new ansatz agree with classical paths.

The initial conditions influence the wave packet structure and classical correspondence.

Discussion of the relationship between initial conditions and signature transition.

Abstract

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.