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Numerical analysis of moments expansions

Authors
Journal
Physics Letters A
0375-9601
Publisher
Elsevier
Publication Date
Volume
185
Issue
4
Identifiers
DOI: 10.1016/0375-9601(94)90181-3
Disciplines
  • Physics

Abstract

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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