Nodal Expansions. II. The General Expansion of nth Order

Abstract

The first‐order nodal expansion of potentials of average force and distribution functions, obtained in a previous publication, is summed over again and converted into a second‐order expansion. The method is generalized, and recursion formulas are given for nth order expansions of potentials of average force in terms of ``sheaf potentials.'' These latter are seen to conform exactly to the Kirkwood superposition principle. The feasibility of actual calculations is briefly discussed. Possible applicability to quantum‐mechanical problems (Feynman diagrams) is noted.