Equivalence of the Sutherland Model to Free Particles on a Circle
Loading...
Date
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
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.
12 pages, REVTeX, some typographical errors and few mistakes in the references are corrected. Few comments are added
12 pages, REVTeX, some typographical errors and few mistakes in the references are corrected. Few comments are added