English

On the Sutherland's Integrability Condition for Two-Dimensional N-Particle Systems

High Energy Physics - Theory 2007-05-23 v1

Abstract

Following Sutherland's work on one-dimensional integrable systems we formulate and study its two-dimensional version. Physically it expresses the absence of true 3-body forces among an assembly of N particles leaving exclusively effective 2-body interactions. This criterion may be a suitable candidate for an integrability condition.

Keywords

Cite

@article{arxiv.hep-th/9507091,
  title  = {On the Sutherland's Integrability Condition for Two-Dimensional N-Particle Systems},
  author = {A. Azhari and T. T. Truong},
  journal= {arXiv preprint arXiv:hep-th/9507091},
  year   = {2007}
}

Comments

13 pages,uses LATeX2e and epsf. File prepared using the uufiles package

R2 v1 2026-07-22T15:55:32.493Z