Abstract
A procedure for the evaluation of the path integrals for the two-particle statistical density matrix at low temperatures is described. It is applied to both helium and neon, the first being the paradigm of a quantum mechanical gas and the second exhibiting weaker, but still significant, quantum effects at temperatures above the triple point. The density independent part of the pair-correlation functions and the second virial coefficients are obtained from these quantities. Three- and many-particle quantum properties are examined by approximating the Slater sum by a product of Boltzmann factors, each factor containing an effective pair-potential defined from the results of the two-particle case. The radial distribution function, obtained from a Percus-Yevick equation using this effective potential, demonstrates the validity of using the effective potential approximation as a tool for studying quantum properties by giving satisfactory results for helium and good agreement with experiment for neon.
Dates
Type | When |
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Created | 14 years, 3 months ago (June 1, 2011, 1:07 a.m.) |
Deposited | 6 years, 9 months ago (Nov. 22, 2018, 9:24 p.m.) |
Indexed | 1 year, 2 months ago (June 21, 2024, 10:55 a.m.) |
Issued | 52 years, 8 months ago (Jan. 1, 1973) |
Published | 52 years, 8 months ago (Jan. 1, 1973) |
Published Print | 52 years, 8 months ago (Jan. 1, 1973) |
@article{Klemm_1973, title={The Structure of Quantum Fluids: Helium and Neon}, volume={26}, ISSN={0004-9506}, url={http://dx.doi.org/10.1071/ph730043}, DOI={10.1071/ph730043}, number={1}, journal={Australian Journal of Physics}, publisher={CSIRO Publishing}, author={Klemm, AD and Storer, RG}, year={1973}, pages={43} }