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

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.

11p, Lanc-Th-G9402

References in corpus (1)

• Evanescent Black Holes

Cited by in corpus (6)

• On Applications of Campbell's Embedding Theorem
• On Signature Transition and Compactification in Kaluza-Klein Cosmology
• Quantum Cosmology of Generalized Two--Dimensional Dilaton Gravity Models
• Quantization of the Reduced Phase Space of Two-Dimensional Dilaton Gravity
• Dynamical Generation of Spacetime Signature by Massive Quantum Fields on a Topologically Non-Trivial Background
• Diffeomorphism algebra of two dimensional free massless scalar field with signature change