A1 Refereed original research article in a scientific journal
Towards exact analytic calculation of electron gas
Authors: Kallio A, Piilo J
Publisher: CZECHOSLOVAK JNL OF PHYSICS
Publication year: 1996
Journal: Czechoslovak Journal of Physics
Journal name in source: CZECHOSLOVAK JOURNAL OF PHYSICS
Journal acronym: CZECH J PHYS
Volume: 46
First page : 2641
Last page: 2642
Number of pages: 2
ISSN: 0011-4626
DOI: https://doi.org/10.1007/BF02570307
Abstract
A new technique for calculation of electron gas radial distribution function g(r(12)) and ground-state energy is developed based on the idea that the probability amplitude psi(r(12)) = root(r(12)) has to satisfy a zero energy Schrodinger equation where the effective interaction is sum of Coulomb force and the induced interaction v(c) + W(r). In the case of electron gas with positive background we write the induced potential in the form W-B + W-e where W-B(r) is known bosonic reference potential and W-e(r) is a fermionic correction determined from the fact that the Coulomb force for low r(s) is switched off. The exact energy expression with coupling constant integration produces energies which agree very closely with Green's function Monte Carlo results.
A new technique for calculation of electron gas radial distribution function g(r(12)) and ground-state energy is developed based on the idea that the probability amplitude psi(r(12)) = root(r(12)) has to satisfy a zero energy Schrodinger equation where the effective interaction is sum of Coulomb force and the induced interaction v(c) + W(r). In the case of electron gas with positive background we write the induced potential in the form W-B + W-e where W-B(r) is known bosonic reference potential and W-e(r) is a fermionic correction determined from the fact that the Coulomb force for low r(s) is switched off. The exact energy expression with coupling constant integration produces energies which agree very closely with Green's function Monte Carlo results.
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