A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Application of geometric probability techniques to the evaluation of interaction energies arising from a general radial potential

1999
*
Journal of Mathematical Physics
*

A formalism is developed for using geometric probability techniques to evaluate interaction energies arising from a general radial potential V(r 12 ), where r 12 ϭ͉r 2 Ϫr 1 ͉. The integrals that arise in calculating these energies can be separated into a radial piece that depends on r 12 and a nonradial piece that describes the geometry of the system, including the density distribution. We show that all geometric information can be encoded into a "radial density function" G(r 12 ; 1 , 2 ),

doi:10.1063/1.532709
fatcat:7znljlyuxvfj5ejbu3ao3chzvm