Goscinskian

Thus, when Goscinskian configurations are used, the generalized Sturmian secular equation for atoms (23) takes on the form ... 

Table 3 3S excited state energies calculated with 78 Goscinskians, using the crude relativistic correction described in the text. The calculation of similar tables for P, 3P, ]D, 3D, doubly excited autoionizing states, etc., is equally easy, rapid, and of comparable accuracy. Tables are given in Chaps. 3 and 4 in [22], but may easily be reproduced using our programs, as shown in Tutorial 1 on [26]... 

This chapter is a review, and most of what is reported here can be found in our own books and papers and those of the authors whose works are cited. There are, however, some results that do not appear elsewhere. Among these are (42)-(47), that demonstrate that T v v, the interelectron repulsion matrix based on Goscinskian congurations, is energy independent and consists of pure numbers when expressed in atomic units. Other new results include Table 3, and much of Sect. 4.4. Sects. 5.2-5.4 and much of the Appendix were previously reported only in the Ph.D. thesis of one of us and in works that are now in press. 

Thus, we wish to use our set of Goscinskians to build up solutions to equation (5), with... 

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