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An alternative to Ewald sums. Part I: Identities for sums

by R. Sperb

(Report number 1996-18)

Abstract
In this paper identities are derived which allow to compute the Coulomb energy associated with emN/em charges in a central cell and all their periodic images. These identities are all consequences of one basic identity which is obtained in a simple and straightforward way. It is possible to extend the results to other types of potentials as well.

Keywords:

@Techreport{S96_201,
  author = {R. Sperb},
  title = {An alternative to Ewald sums. Part I: Identities for sums},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {1996-18},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports1996/1996-18.pdf },
  year = {1996}
}

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