Tensor Formalism for Coulomb Interactions and Asymptotic Properties of Multipole Expansions
Abstract
A tensor notation for electric multipole interactions between molecular charge distributions is developed and applied to the evaluation of first and secondorder interaction energies. An equivalence theorem between cylindrically symmetric and linear assemblies of charge is established. The mathematical implications of using a multipole Taylor expansion in regions of configuration space where the series has no validity is discussed for the first and second orders of perturbation theory.
 Publication:

Physical Review
 Pub Date:
 May 1958
 DOI:
 10.1103/PhysRev.110.661
 Bibcode:
 1958PhRv..110..661J