The quantum N-body problem and the auxiliary field method
Mathematical Physics
2014-11-20 v2 High Energy Physics - Phenomenology
math.MP
Abstract
Approximate analytical energy formulas for N-body relativistic Hamiltonians with one- and two-body interactions are obtained within the framework of the auxiliary field method. This method has already been proved to be a powerful technique in the case of two-body problems. A general procedure is given and applied to various Hamiltonians of interest, in atomic and hadronic physics in particular. A test of formulas is performed for baryons described as a three-quark system.
Cite
@article{arxiv.0908.2829,
title = {The quantum N-body problem and the auxiliary field method},
author = {Bernard Silvestre-Brac and Claude Semay and Fabien Buisseret and Fabian Brau},
journal= {arXiv preprint arXiv:0908.2829},
year = {2014}
}
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