A concise redefinition of the solid spherical harmonics and its use in fast multipole methods


Journal Article

Several fast algorithms for the approximation of particle-particle interactions by means of multipole expansions in spherical harmonics have appeared recently. In this letter we present a redefinition of the solid spherical harmonics that is real and gives simple expressions for the evaluation of the functions and their derivatives. Application to the recursive bisection method [J. M. Pérez-Jordá and W. Yang, Chem. Phys. Lett. 247, 484 (1995)] greatly improves its performance. © 1996 American Institute of Physics.

Full Text

Duke Authors

Cited Authors

  • Pérez-Jordá, JM; Yang, W

Published Date

  • May 22, 1996

Published In

Volume / Issue

  • 104 / 20

Start / End Page

  • 8003 - 8006

International Standard Serial Number (ISSN)

  • 0021-9606

Digital Object Identifier (DOI)

  • 10.1063/1.471517

Citation Source

  • Scopus