Calculating the probabilities of quantum processes in external gravitational fields. I.

A method is proposed for calculating the amplitudes of quantum processes for a synchronous and sealer field in warped space-time. It is shown that these amplitudes can be expressed in terms of the matrix elements of the Green functions of the field equations.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 90–95, March, 1979.The authors thank V. P. Frolov for stimulating discussions on the problems referred to in the paper.