Lower Bounds to Ground-State Eigenvalues II

An alternative to the Temple method for calculating a lower bound to the ground-state eigenvalue of an operator is presented. The method presented is an improvement and generalization upon a similar method [M.G. Marmorino, J. Math. Chem. 32 (2002) 19–29]. For the system tested the lower bound of the current method is significantly superior to the Temple method and the previous method. Furthermore, the current method (like its predecessor) is able to generate a lower bound when the Temple method fails.