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

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

2001-02-28

arxiv.org/abs/nucl-th/0102061v1

Physics

Nuclear Physics

Nuclear Theory

29 pages, 5 figures, to be published in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.63.062107

New lower bounds for the binding energy of a quantum-mechanical system of interacting particles are presented. The new 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.

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