“…By minimisation of the variance Kleindienst and Müller provided a tightening series of Temple's lower bounds [11,12,13]. Cohen and Feldmann gave a generalisation of Temple's lower bound relying on a set of approximate eigenfunctions {ϕ 1 , .…”
Section: Literature Overview On Lower Boundsmentioning
“…By minimisation of the variance Kleindienst and Müller provided a tightening series of Temple's lower bounds [11,12,13]. Cohen and Feldmann gave a generalisation of Temple's lower bound relying on a set of approximate eigenfunctions {ϕ 1 , .…”
Section: Literature Overview On Lower Boundsmentioning
“…All I integrals [Eq. (4)] containing only one factor rG2 can be reduced to the integral I(a, P , y ; a, b, c, A, p , -2) because of the following identity obtained by permuting the indices 1,2,3:…”
In this paper, the efficient evaluation of the atomic integrals I = jrfr26r3Cr~~r~r;;e-nrl-B'2-yr3 dT with one or two factors rii' is described. These integrals are necessary for a lower-bound calculation for Li-like systems using the method of variance minimization or Temple's formula. 0 1993 John Wiley & Sons, Inc.
The first nonrelativistic lower bound to the ground state of the lithium atom is given with EO > -7.47816 au using the method of variance minimization and an extension of Temple's formula. With large Hylleraas-CI basis sets, high-precision upper bounds and isotope shifts are calculated for the three lowest 2S states of the lithium atom, which are the best to date.
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