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On the Relation between Classical and Quantum Cosmology in a 2-Dimensional Dilaton-Gravity Model

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 synthesise 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.

preprint1994arXivOpen access
M OnderR W Tucker
gr-qchep-th
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M OnderR W Tucker

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