Special singlet and triplet geminal correlations for modeling fullerenes and superconductive cuprates

摘要

Two electron-bonding geminals ψ_Λ(x_1, x_2), in cupric of superconductivity as well as in carbons of fullerenes out of four electrons ψ_Λ(x_1, x_2, x_3, x_4), have been explained. In superconductivity cases, La_8 Sr_8Cu_8O_(28) and La_(12)Sr_4Cu_8O_(30) with free 4 Cu in D_(4h) have been considered. Fullerenes C_(40) (T_d) and C_(48) (O_h) with free π radicals · of 4 carbons in D_(4h) have also been considered. Singlet and triplet geminals, ~(1,3)ψ_Λ(x_1, x_2), are in terms of ~(1,3)φ_(n,n+1)(x_1, x_2) = 1/(2~(1/2))[φ_n(x_1)φ_(n+1)(x_2)±φ_n(x_2)φ_(n+1)(x_1)], in 4 Cu and 4 carbons of a_(2μ), e_(gxz), e_(gyz) and b_(1μ) or b_(2μ).