Equivalence of the Sutherland Model to Free Particles on a Circle
N. Gurappa, Prasanta K. Panigrahi
Abstract
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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