Problems of classical and quantum-gravitational collapse

The quantization of a homogeneous isotropic Friedmann model of the universe that is occupied by a quantized scalar field is considered in the superspace approach of Wheeler and DeWitt. Steady-state perturbation theory is used to show that in the region N 1, 10^–23, N=1, 2,..., where it is applicable, the steady-state solutions of the DeWitt equation have a discrete spectrum corresponding to discrete energy levels of the steady state of the cosmological model M= (2N + 1)M_o, M_o = 10^–5 g.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 113–117, July, 1977.In conclusion the authors thank Sen. Sci. Colleague D. V. Galtsov and Sen. Sci. Colleague V. R. Khalilov, and also the members of the seminar conducted by Profs. V. P. Shelest and K. P. Stanyukovich.