Extension and Simple Proof of Lekner's Summation Formula for Coulomb Forces
- 1 September 1994
- journal article
- research article
- Published by Taylor & Francis in Molecular Simulation
- Vol. 13 (3) , 189-193
- https://doi.org/10.1080/08927029408021982
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.Keywords
This publication has 1 reference indexed in Scilit:
- Summation of Coulomb fields in computer-simulated disordered systemsPhysica A: Statistical Mechanics and its Applications, 1991