ar X iv : h ep - t h / 99 08 12 7 v 1 1 9 A ug 1 99 9 Equivalence of the Sutherland Model to Free Particles on a Circle
نویسنده
چکیده
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. PACS: 03.65.-w, 03.65.Ge
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X iv : h ep - t h / 99 08 12 7 v 2 2 4 A ug 1 99 9 Equivalence of the Sutherland Model to Free Particles on a Circle
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. PACS: 03.6...
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