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Article
Application of Geometric Probability Techniques to the Evaluation of Interaction Energies Arising from a General Radial Potential
Journal of Mathematical Physics
  • David Schleef, University of California - Berkeley
  • Michelle Parry, Longwood University
  • Shu-Ju Tu, Purdue University
  • Brian Woodahl, Purdue University
  • Ephraim Fischbach, Purdue University
Document Type
Article
Publication Date
1-1-1999
Abstract
A formalism is developed for using geometric probability techniques to evaluate interaction energies arising from a general radial potential V(r12), where r12 = ∣r2−r1∣. The integrals that arise in calculating these energies can be separated into a radial piece that depends on r12 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(r12;ρ1,ρ2), which depends on r12 and the densities ρ1and ρ2 of two interacting regions. G(r12;ρ1,ρ2) is calculated explicitly for several geometries and is then used to evaluate interaction energies for several cases of interest. Our results find application in elementary particle, nuclear, and atomic physics
DOI
10.1063/1.532709
Version
Publisher's PDF
Disciplines
Comments

© 1999 The American Institute of Physics. Available on publisher's site at http://dx.doi.org/10.1063/1.532709

Original Citation

J. Math. Phys. 40, 1103 (1999)

Citation Information
David Schleef, Michelle Parry, Shu-Ju Tu, Brian Woodahl, et al.. "Application of Geometric Probability Techniques to the Evaluation of Interaction Energies Arising from a General Radial Potential" Journal of Mathematical Physics Vol. 40 Iss. 2 (1999) p. 1103 - 1112
Available at: http://works.bepress.com/michelle_parry/3/