Nodal Expansions. II. The General Expansion of nth Order

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.