A1 Refereed original research article in a scientific journal
Novel analytic calculation of electron gas properties
Authors: Kallio A, Piilo J
Publisher: AMERICAN PHYSICAL SOC
Publication year: 1996
Journal: Physical Review Letters
Journal name in source: PHYSICAL REVIEW LETTERS
Journal acronym: PHYS REV LETT
Volume: 77
Issue: 20
First page : 4237
Last page: 4240
Number of pages: 4
ISSN: 0031-9007
DOI: https://doi.org/10.1103/PhysRevLett.77.4237
Abstract
A new technique for calculation of the electron gas radial distribution function g(r(12)) and the groundstate energy is developed based on the idea that the probability amplitude psi(r(12)) = root Jg(r(12)) has to satisfy a zero-energy Schrodinger equation where the effective interaction is the sum of the Coulomb force and the induced interaction upsilon(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 the 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 coupling constant integration produces energies which agree very closely with Green's function Monte Carlo results.
A new technique for calculation of the electron gas radial distribution function g(r(12)) and the groundstate energy is developed based on the idea that the probability amplitude psi(r(12)) = root Jg(r(12)) has to satisfy a zero-energy Schrodinger equation where the effective interaction is the sum of the Coulomb force and the induced interaction upsilon(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 the 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 coupling constant integration produces energies which agree very closely with Green's function Monte Carlo results.
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