摘要Using formulae for one- and two-electron integrals of Coulomb interaction potential fk(r)=r-k with non-integer indices k established by one of the authors with the help of complete orthonormal sets of ψα-exponential-type orbitals (α=1,0,-1,-2...), we perform the calculations for isoelectronic series of the He atom containing nuclear charges from 2 to 10, where k=1-μ (-1<μ<0). For this purpose we have used the double-zeta approximation, the configuration interaction and coupled-cluster methods employing the integer-n Slater-type orbitals as basis sets. It is demonstrated that the results of calculations obtained are better than the numerical Hartree--Fock values.
Abstract：Using formulae for one- and two-electron integrals of Coulomb interaction potential fk(r)=r-k with non-integer indices k established by one of the authors with the help of complete orthonormal sets of ψα-exponential-type orbitals (α=1,0,-1,-2...), we perform the calculations for isoelectronic series of the He atom containing nuclear charges from 2 to 10, where k=1-μ (-1<μ<0). For this purpose we have used the double-zeta approximation, the configuration interaction and coupled-cluster methods employing the integer-n Slater-type orbitals as basis sets. It is demonstrated that the results of calculations obtained are better than the numerical Hartree--Fock values.
GUSEINOV I. Israfil;AKSU Hüseyin. Ground State Energy Calculations of Isoelectronic Series of He in Double-Zeta Approximation Using Coulomb Potential with Noninteger Indices[J]. 中国物理快报, 2008, 25(3): 896-898.
GUSEINOV I. Israfil, AKSU Hüseyin. Ground State Energy Calculations of Isoelectronic Series of He in Double-Zeta Approximation Using Coulomb Potential with Noninteger Indices. Chin. Phys. Lett., 2008, 25(3): 896-898.
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