Problems of classical and quantum-gravitational collapse V. (Quantum cosmology. scalar field. continuation)

The study of the system of homogeneous gravitational and scalar fields is continued in the framework o f the formalism of canonical quantization. Solution of de Witt's equation by perturbation theory leads to the prediction of production of scalar matter by a nonstationary quantized gravitational field.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 115–118, August, 1977.We are very grateful to V. G. Krechet for stimulating discussions and also to V. R. Khalilov and D. V. Gal'tsov for valuable comments and discussion of the work.