Use of S-matrix approach to develop a theory of perturbations in 1/Z

On the basis of the S-matrix approach, a theory of perturbations in 1/Z is developed; the energy of a multielectron system is written in the form of a double series in powers of andZ and a method of determining the coefficients of this series in a j-j coupling scheme is given. The method is applied to configurations of the type, and numerical results are given for the wavelength of transitions between several states of the isoelectronic as sequence of carbon, illustrating the good agreement between experiment and theory.Translated from Izvestiya Vysshikh Uchebnikh Zavedenii, Fizika, No. 8, pp. 59–63, August, 1978.