The quantum N-body problem and the auxiliary field method

Details The quantum N-body problem and the auxiliary field method The quantum N-body problem and the auxiliary field method

2009-08-20

arxiv.org/abs/0908.2829v2

J. Math. Phys. 51, 032104 (2010)

Physics

Mathematical Physics

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Scientific paper

10.1063/1.3340799

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.

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