Canonical wave packets in quantum cosmology

TL;DR

This paper introduces a method to construct canonical wave packets in quantum cosmology, optimizing classical-quantum correspondence for solutions of Wheeler-DeWitt equations in Robertson-Walker models with arbitrary curvature.

Contribution

It presents a new general method to determine canonical initial slopes for wave functions, improving the construction of wave packets in quantum cosmology.

Findings

Existence of a canonical initial slope for wave functions.

Method generalizes previous work on wave packet construction.

Enhanced classical-quantum correspondence in cosmological models.

Abstract

We discuss the construction of wave packets resulting from the solutions of a class of Wheeler-DeWitt equations in Robertson-Walker type cosmologies, for arbitrary curvature. We show that there always exists a ``canonical initial slope" for a given initial wave function, which optimizes some desirable properties of the resulting wave packet, most importantly good classical-quantum correspondence. This can be properly denoted as a canonical wave packet. We introduce a general method for finding these canonical initial slopes which is generalization of our earlier work.