Amplitude-real-phase exact solutions for quantum mixmaster universes

Abstract

We present a set of exact solutions for quantum Bianchi type-IX anisotropic cosmological models (including the Taub model) of the form $\ensuremath{\Psi}=W{e}^{\ensuremath{-}S}$. These solutions are spread over all values of anisotropy near the singularity, but at larger values of the radius of the universe they are strongly peaked around the $k=+1$ Friedmann-Robertson-Walker model.