Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1993-09-15
Phys.Lett. B321 (1994) 193-198
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
11 pages, LateX, (Equations (36) and (37) have been corrected and the discussion of them modified.)
Scientific paper
10.1016/0370-2693(94)90463-4
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 Schrodinger representation. The quantum constraints are solved exactly to yield the (spatial) diffeomorphism invariant quantum wave functional for all theories considered. This wave function depends explicitly on the (single) configuration space coordinate as well as on the imbedding of space into spacetime (i.e. on the choice of time).
Gegenberg Jack
Kunstatter Gabor
Louis Martinez D.
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