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Journal of Mathematical Physics 51 (2010) 032104
The quantum N-body problem and the auxiliary field method
B. Silvestre-Brac1, C. Semay, F. Buisseret, F. Brau

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.
1 :  LPSC - Laboratoire de Physique Subatomique et de Cosmologie
Mathématiques/Physique mathématique

Physique/Physique des Hautes Energies - Phénoménologie

Physique/Physique mathématique
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