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arXiv · gr-qc/9403006

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

M Onder·R W Tucker
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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 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.

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M Onder, R W Tucker. 1994-03-02. On the Relation between Classical and Quantum Cosmology in a 2-Dimensional Dilaton-Gravity Model. https://doi.org/10.1088/0264-9381%2F11%2F5%2F011

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