Quantum mechanics of the Robertson-Walker geometry

Physics

Scientific paper

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Scientific paper

The Wheeler-DeWitt equation for the Robertson-Walker geometry coupled to scalar and Fermi fields is solved. Systematic use of Dirac's method for constrained systems is made and ad-hoc assumptions about the factor ordering problem arising from the classical constraints are avoided. It is thus found that the probability density of finding the universe with a radius R vanishes as the classical singularity at R = 0 is approached.
On leave of absence from Universidad de Santiago de Chile, Av. Ecuador 3469, Santiago, Chile.

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