Jc. Ramirez et al., JAYNES INFORMATION ENTROPY OF SMALL MOLECULES - NUMERICAL EVIDENCE OFTHE COLLINS CONJECTURE, Physical review. A, 56(6), 1997, pp. 4477-4482
Collins's conjecture [Z. Naturforsch. 48A, 68 (1993)] that the correla
tion energy of a system is proportional to the Jaynes entropy [in Pape
rs on Probability, Statistics and Statistical Physics, edited by R. Ro
sencrantz (Reidel, Dordrecht, 1983)] is investigated for small molecul
ar systems. Numerical evidence supporting the conjecture is obtained b
y computing entropies from highly correlated configuration-interaction
wave functions at various correlation levels, using sequences of incr
easingly larger basis sets. Further evidence is also obtained by exami
nation of results obtained from a variety of correlation methods utili
zing a fixed basis set. [S1050-2947(97)04711-2].