Abstract
The Coulomb pair density matrixG β(r, r′) for attractive and repulsive potentials is not only interesting for determining the two-particle effective potentials, but it is also essential in numerical studies of quantum systems. A high-temperature approximation is obtained for logG β(r, r′), in the form of simple integrals or series expansions; large-distance expansions are also given.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
L. Hostler and R. H. Pratt,Phys. Rev. Lett. 10:469 (1963).
L. Hostler,J. Math. Phys. 5:591 (1964).
B. Jancovici,Physica 91A:152 (1978).
B. Jancovici,J. Stat. Phys. 17:357 (1977).
M. Minoo, M. M. Gombert, and C. Deutsch,Phys. Rev. A 23:924 (1981).
R. G. Storer,J. Math. Phys. 9:964 (1968).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Vieillefosse, P. Coulomb pair density matrix I. J Stat Phys 74, 1195–1209 (1994). https://doi.org/10.1007/BF02188223
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02188223