Quantum Cosmology

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We comment on two issues in quantum cosmology, in the context of the Wheeler-De Witt equation and wave function of the Universe: (i) arrow of time and interpretation of the wave function in the classically allowed regions; (ii) stability of an approximation of the Born-Oppenheimer type in classically forbidden regions of the scale factor.
Lecture at NATO ASI "Structure Formation in the Universe", Cambridge, 26 July - 6 August, 1999

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