Extension and Simple Proof of Lekner's Summation Formula for Coulomb Forces

@article{citeulike:2682943, abstract = {In [3] J. Lekner derived an elegant and very useful summation formula for Coulomb forces. In his derivation he used some powerful identities such as the Poisson-Jacobi identity, the application of which was not at all straightforward. In this note it is shown that Lekner's result and an extension to more general potentials can be obtained in a rather simple and straightforward way.}, author = {Sperb, Ren\é }, citeulike-article-id = {2682943}, doi = {10.1080/08927029408021982}, journal = {Molecular Simulation}, keywords = {lekner--sperb\_summation}, number = {3}, pages = {189--193}, posted-at = {2008-04-17 17:58:05}, priority = {2}, publisher = {Taylor \& Francis}, title = {Extension and Simple Proof of Lekner's Summation Formula for Coulomb Forces}, url = {http://dx.doi.org/10.1080/08927029408021982}, volume = {13}, year = {1994} }

TY - JOUR ID - citeulike:2682943 L3 - citeulike-article-id:2682943 TI - Extension and Simple Proof of Lekner's Summation Formula for Coulomb Forces JF - Molecular Simulation VL - 13 IS - 3 SP - 189 EP - 193 PB - Taylor & Francis N2 - In [3] J. Lekner derived an elegant and very useful summation formula for Coulomb forces. In his derivation he used some powerful identities such as the Poisson-Jacobi identity, the application of which was not at all straightforward. In this note it is shown that Lekner's result and an extension to more general potentials can be obtained in a rather simple and straightforward way. KW - lekner--sperb_summation AU - Sperb, René PY - 1994/// UR - http://dx.doi.org/10.1080/08927029408021982 ER -