Equivalence of the Sutherland Model to Free Particles on a Circle

Details Equivalence of the Sutherland Model to Free Particles on a Circle Equivalence of the Sutherland Model to Free Particles on a Circle

1999-08-19

arxiv.org/abs/hep-th/9908127v2

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, REVTeX, some typographical errors and few mistakes in the references are corrected. Few comments are added

Scientific paper

A method is developed to construct the solutions of one and many variable, linear differential equations of arbitrary order. Using this, the $N$-particle Sutherland model, with pair-wise inverse sine-square interactions among the particles, is shown to be equivalent to free particles on a circle. Applicability of our method to many other few and many-body problems is also illustrated.

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