Publication Type
Journal
Journal Name
Physical Review B
Publication Date
Page Number
127101
Volume
86
Issue
12
Abstract
This is a comment on the paper by Aftab Alam, Brian G. Wilson, and D. D. Johnson [1], proposing the solution of the near-field corrections (NFC’s) problem for the Poisson equation for extended, e.g., space filling, charge densities. We point out that the problem considered by the authors can be simply avoided by means of performing certain integrals in a particular order, while their method does not address the genuine problem of NFC’s that arises when the solution of the Poisson equation is attempted within multiple scattering theory. We also point out a flaw in their line of reasoning leading to the expression for the potential inside the bounding sphere of a cell that makes it inapplicable to certain geometries.