APPLICATIONS OF B-SPLINES TO THE LOCAL-DENSITY FUNCTIONAL CALCULATIONS FOR ATOMS FROM H TO CA

B-splines is employed to solve the Kohn-Sham equations of the local de nsity functional theory for atoms from H to Ca in a variational self-c onsistent field procedure. The local-density-approximation (LDA), loca l-spin-density-approximation (LSD), and self-interact ion-correction l ocal-spin-density-approximation (SIC-LSD) schemes have all been consid ered and comparisons of the results are presented. Both the Gunnarsson -Lundqvist (GL) and Ceperley-Alder (CA) exchange-correlation energies are used. We have tried to achieve high accuracy in the numerical proc edure. Comparisons of the energies show that the results of SIC-LSD ar e more accurate while LDA and LSD are more efficient. The results are in agreement with published results. The expectation values of differe nt powers of r for each orbital which depends on the detailed behavior of the wave functions of the atoms are given. Additional corrections including relativistic effects, the reduced mass effects and the finit e nuclear size corrections are also considered. The calculated results including these corrections are presented and compared with experimen tal data and other theoretical calculations. The comparison illustrate s the ability of the B-spline applications to the density functional t heory to be an efficient method and yet is capable of arriving at accu rate results which can compete with results of sophisticated methods. As an additional test of the method, we have calculated the oscillator strengths of the 3s-3p and 4s-4p transition of the alkali iso-electro n atoms: Na, Mg+ and K, Ca+. Compared with available experimental resu lts, our results are among the best published theoretical values so fa r.