Abstract
The most general dilaton gravity theory in 2 spacetime dimensions is considered. A Hamiltonian analysis is performed and the reduced phase space, which is two dimensional, is explicitly constructed in a suitable parametrization of the fields. The theory is then quantized via the Dirac method in a functional Schrödinger representation. The quantum constraints are solved exactly to yield the (spatial) diffeomorphism invariant physical wave functionals for all theories considered. These wave functionals depend explicitly on the single configuration space coordinate as well as on the imbedding of space into spacetime (i.e. on the choice of time).
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