RT Journal Article
SR Electronic
T1 Electronic wave functions V. Systematic reduction methods for all SchrÃ¶dinger integrals of conventional systems of antisymmetric vector-coupled functions
JF Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
JO Proc R Soc Lond A Math Phys Sci
FD The Royal Society
SP 197
OP 215
DO 10.1098/rspa.1951.0111
VO 207
IS 1089
A1
YR 1951
UL http://rspa.royalsocietypublishing.org/content/207/1089/197.abstract
AB Analyses on the expansion of equivalent electron functions, on changes in the order of vector coupling, and on the calculation of the V coefficients of part IV are reported. These are of practical value, but their chief importance lies in the fact that they complete a series of theorems which makes it possible to formulate a general reduction scheme for all SchrÃ¶dinger integrals between antisymmetric functions formed by the vector coupling of equivalent electron functions. This completes the derivation of the integral reduction methods required for the converging calculations of atomic wave functions. The methods will also be applicable to other problems at different levels of accuracy.