On the relation between classical and quantum cosmology in a two-dimensional dilaton-gravity model

Önder, M. and Tucker, Robin (1994) On the relation between classical and quantum cosmology in a two-dimensional dilaton-gravity model. Classical and Quantum Gravity, 11 (5). pp. 1243-1253. ISSN 0264-9381

Abstract

We analyse the classical and quantum theory of a scalar field interacting with gravitation in two dimensions. We describe a class of analytic solutions to the Wheeler--DeWitt equation from which we are able to synthesize states that give prominence to a set of classical cosmologies. These states relate in a remarkable way to the general solution of the classical field equations. We express these relations, without approximation, in terms of a metric and a closed form on the domain of quantum states.