Bounding the ground-state energy of a many-body system with the differential method

Details Bounding the ground-state energy of a many-body system with the differential method Bounding the ground-state energy of a many-body system with the differential method

2005-06-22

arxiv.org/abs/nucl-th/0506069v2

Nucl.Phys. A765 (2006) 319-341

Physics

Nuclear Physics

Nuclear Theory

version 1->2 (main revisions): subsection 2.2, equation (18), footnote 6 have been added

Scientific paper

10.1016/j.nuclphysa.2005.10.015

This paper promotes the differential method as a new fruitful strategy for estimating a ground-state energy of a many-body system. The case of an arbitrary number of attractive Coulombian particles is specifically studied and we make some favorable comparison of the differential method to the existing approaches that rely on variational principles. A bird's-eye view of the treatment of more general interactions is also given.

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