Abstract
An integral representation is derived for the density matrix of two particles interacting via a Coulomb potential. In particular this representation yields a simple expression for the exchange term of the Slater sum of two identical particles which is suitable for numerical calculations. Results are given for several values of the parameter ξ=e 2/kT
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Work supported in part by the U.S. Army Research Office (Durham) under Grant No. DA-AROD-D31-124-G 783, and in part by the Air Force Office of Scientific Research under Grant No. AFORS-1015-67.
The author would like to acknowledge a travel grant from the Ministry of Scientific Research of the Federal Republic of Germany.
The author is much indebted for the kind hospitality extended to him by the Institute for Fluid Dynamics and Applied Mathematics of the University of Maryland, where this work has been done. The computations were performed on the IBM 7094 at the University of Maryland Computer Science Center.
Rights and permissions
About this article
Cite this article
Baumgartl, B.J. Two-particle density matrix for Coulomb interaction. Z. Physik 217, 24–32 (1968). https://doi.org/10.1007/BF01390636
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF01390636