Accurate lower and upper bounds for the nonrelativistic ground state energies E, of the real systems ,He, H-, D-, and T-were calculated by the method of variance minimization using wave functions which include logarithmic terms. In addition, an analogous treatment with an infinite mass approximation for H-, He, and the isoelectronic series up to 2 = 10 was carried out. Especially for H-and He the results (a.u.) are given by -0.52775101712297, < E,(H-) < -0.52775101654373,These values have an absolute error smaller than 1.28 . lo-, cm-' for H-and 3.10 .cm-' for He. Moreover it is shown that a variation of nuclear mass m, for the H-species does not produce a second discrete eigenvalue.
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