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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

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.

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