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

Journal of Mathematical Physics

Volumn 40, Issue 2, 1999, Pages 1103-1112

  Schleef, David ^a,b   Parry, Michelle ^a,c   Tu, Shu Ju ^a   Woodahl, Brian ^a   Fischbach, Ephraim ^a  

^a PURDUE UNIVERSITY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c LONGWOOD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033480135     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532709     Document Type: Article

References (16)

1. E. Fischbach, D. E. Krause, C. Talmadge, and D. Tadić, Phys. Rev. D 52, 5417 (1995).
2. E. Fischbach, Ann. Phys. (N.Y.) 247, 213 (1996).
3. G. Feinberg and J. Sucher, Phys. Rev. 166, 1638 (1968).
4. G. Feinberg, J. Sucher, and C-K. Au, Phys. Rep. 180, 83 (1989).
5. S. D. H. Hsu and P. Sikivie, Phys. Rev. D 49, 4951 (1994).
6. G. F. Arfken and H. J. Weber, Mathematical Methods for Physicists, 4th ed. (Academic, San Diego, 1995), p. 749.
7. A. Bohr and B. R. Mottelson, Nuclear Structure (Benjamin, New York, 1969), Vol. I, p. 141.
8. R. Deltheil, Ann. Fac. Sci. Univ. Toulouse 11, 1 (1919).
9. J. M. Hammersly, Ann. Math. Stat. 21, 447 (1950).
10. R. D. Lord, Ann. Math. Stat. 25, 794 (1954).
11. A. W. Overhauser (unpublished).
12. M. G. Kendall and P. A. P. Moran, Geometrical Probability (Hafner, New York, 1963).
13. L. A. Santaló, Integral Geometry and Geometric Probability (Addison-Wesley, Reading, MA, 1976), p. 212.
14. J. N. Israelachvili, Intermolecular and Surface Forces, 2nd ed. (Academic, London, 1992).
15. B. Gady, D. Schleef, R. Reifenberger, D. Rimai, and L. P. DeMejo, Phys. Rev. B 53, 8065 (1996).
16. M. Parry, Ph.D. thesis, Purdue University, 1998 (unpublished).