Equivalence of the Sutherland Model to Free Particles on a Circle
High Energy Physics - Theory
2007-05-23 v2 Condensed Matter
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Quantum Physics
solv-int
Abstract
A method is developed to construct the solutions of one and many variable, linear differential equations of arbitrary order. Using this, the -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.
Keywords
Cite
@article{arxiv.hep-th/9908127,
title = {Equivalence of the Sutherland Model to Free Particles on a Circle},
author = {N. Gurappa and Prasanta K. Panigrahi},
journal= {arXiv preprint arXiv:hep-th/9908127},
year = {2007}
}
Comments
12 pages, REVTeX, some typographical errors and few mistakes in the references are corrected. Few comments are added