Abstract
Two interacting electrons that are confined to the surface of a sphere have a uniform ground-state (surface) density. The Schrodinger equation of this helium-type two-electron system is solved here accurately for different values alpha is an element of R of a constant that is multiplied to the electron-electron repulsion V-ee. The correlation structure in the resulting wave functions is analyzed ...
Abstract
Two interacting electrons that are confined to the surface of a sphere have a uniform ground-state (surface) density. The Schrodinger equation of this helium-type two-electron system is solved here accurately for different values alpha is an element of R of a constant that is multiplied to the electron-electron repulsion V-ee. The correlation structure in the resulting wave functions is analyzed for different values of alpha. The asymptotic limits alpha -> 0 and alpha ->+/-infinity are treated analytically. Using these results, the ISI (interaction-strength interpolation) model for the density-functional E-xc[rho] of the exchange-correlation energy in the real system with alpha=1 is tested against the exact adiabatic connection in density-functional theory.
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