Abstract

We present numerical results for the estimate of the ground state energy for two quantum many-body systems using the connected moments expansion (CMX) and a newly developed alternate moments expansion (AMX). Comparisons are made with an equivalent Lanczos scheme which yields a variational upper bound for the ground state energy. For each system, the utility of both expansions is evaluated as they pertain to relevant regions of parameter space. A brief description of the (numerical) nature of the singularities which may arise in the series expansions is also given.

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