In many quantum bound-state problems of quantum chemistry an
efficient estimate of upper bounds proves feasible via variational
techniques. In contrast, finding a reliable lower bound is difficult
in general, with the Bazley's recipe of ref. [7] being in frequent
use. Two alternate numerical methods are proposed and tested on
linear potential and helium atom, with not too encouraging results.

MR2386545 Marmorino, M. G. Alternatives to Bazley's special choice
for eigenvalue lower bounds. J. Math. Chem. 43 (2008), no. 3,
966--975. 81Q15 (65F15 81V55)