Improved lower bounds for the ground-state energy of many-body systems

D. Van Neck, Y. Dewulf, and M. Waroquier
Phys. Rev. A 63, 062107 – Published 10 May 2001
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Abstract

Alternative lower bounds for the binding energy of a quantum-mechanical system of interacting particles are presented. These bounds are expressed in terms of two-particle quantities and improve the conventional bounds of the Hall-Post type. They are constructed by considering not only the energy in the two-particle system, but also the structure of the pair wave function. We apply the formal results to various numerical examples, and show that in some cases dramatic improvement over the existing bounds is reached.

  • Received 12 January 2001

DOI:https://doi.org/10.1103/PhysRevA.63.062107

©2001 American Physical Society

Authors & Affiliations

D. Van Neck, Y. Dewulf, and M. Waroquier

  • Laboratory of Theoretical Physics, Ghent University, Proeftuinstraat 86, B-9000 Ghent, Belgium

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Issue

Vol. 63, Iss. 6 — June 2001

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