A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Towards exact analytic calculation of electron gas
Tekijät: Kallio A, Piilo J
Kustantaja: CZECHOSLOVAK JNL OF PHYSICS
Julkaisuvuosi: 1996
Journal: Czechoslovak Journal of Physics
Tietokannassa oleva lehden nimi: CZECHOSLOVAK JOURNAL OF PHYSICS
Lehden akronyymi: CZECH J PHYS
Vuosikerta: 46
Aloitussivu: 2641
Lopetussivu: 2642
Sivujen määrä: 2
ISSN: 0011-4626
DOI: https://doi.org/10.1007/BF02570307
Tiivistelmä
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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