Hypernetted-chain Euler-Lagrange equations and the electron fluid
- 1 September 1980
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 22 (5), 2353-2372
- https://doi.org/10.1103/physrevb.22.2353
Abstract
Least upper bounds to the ground-state energy of the electron fluid are obtained by solving Euler-Lagrange equations obtained within the framework of Fermi hypernetted-chain theory for arbitrary density and spin polarization. It is shown that the so-obtained approximate distribution and structure functions satisfy known exact relations in the high- and low-density limits as well as in the long-wavelength limit at any density. The numerical results are in excellent agreement with coupled-cluster perturbational and Monte Carlo type calculations. As a by-product a simple analytic solution accurate in the high-density limit is obtained which is superior to the randomphase approximation in the metallic density regime.Keywords
This publication has 33 references indexed in Scilit:
- Optimal correlation functions for simple quantum fluidsNuclear Physics A, 1979
- Optimal correlation function form Fermi HNC equationsNuclear Physics A, 1979
- Ground state of the fermion one-component plasma: A Monte Carlo study in two and three dimensionsPhysical Review B, 1978
- Convergence of hypernetted-chain calculations for extended Fermi systemsNuclear Physics A, 1977
- Exchange and correlation in atoms, molecules, and solids by the spin-density-functional formalismPhysical Review B, 1976
- Long-range Jastrow correlationsNuclear Physics A, 1975
- The hypernetted-chain approximation for a fermion systemIl Nuovo Cimento A (1971-1996), 1975
- A local exchange-correlation potential for the spin polarized case. iJournal of Physics C: Solid State Physics, 1972
- Explicit local exchange-correlation potentialsJournal of Physics C: Solid State Physics, 1971
- Self-Consistent Equations Including Exchange and Correlation EffectsPhysical Review B, 1965