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Lekner Summation of Long Range Interactions in Periodic Systems

Author

Listed:
  • Niels Grønbech-Jensen

    (Department of Physics, University of California, Los Angeles, California 90024, USA;
    Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA)

Abstract

We present a complete set of practical expressions for fast and accurate evaluation of Coulomb interactions, forces and energies, in any rectangular periodic medium. This analysis also includes explicit expressions for energy constants and self-energies of charged particles in periodic lattices. Energy constants and self-energies are further evaluated for logarithmic interactions in two-dimensional rectangular systems with periodic boundary conditions. The expressions are optimized for computational speed and tested by direct numerical implementation.

Suggested Citation

  • Niels Grønbech-Jensen, 1997. "Lekner Summation of Long Range Interactions in Periodic Systems," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 8(06), pages 1287-1297.
    • Handle: RePEc:wsi:ijmpcx:v:08:y:1997:i:06:n:s0129183197001144
    DOI: 10.1142/S0129183197001144
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