Wave Functions of the Induced 2D-Gravity

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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9 pages; FTUV/93-3&IFIC/93-3

Scientific paper

10.1016/0370-2693(93)90131-Z

We consider the induced $2$d-gravity in the minisuperspace approach. The
general solution to the Wheeler-DeWitt equation is given in terms of different
kind of Bessel functions of purely real or imaginary orders. We study the
properties of the corresponding probability distribution finding a kind of
phase transition at the critical point $\nu=0$.

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