Asymptotic analysis and spectrum of three anyons
Condensed Matter
2008-11-26 v1
Abstract
The spectrum of anyons confined in harmonic oscillator potential shows both linear and nonlinear dependence on the statistical parameter. While the existence of exact linear solutions have been shown analytically, the nonlinear dependence has been arrived at by numerical and/or perturbative methods. We develop a method which shows the possibility of nonlinearly interpolating spectrum. To be specific we analyse the eigenvalue equation in various asymptotic regions for the three anyon problem.
Cite
@article{arxiv.cond-mat/9301021,
title = {Asymptotic analysis and spectrum of three anyons},
author = {G. Date and M. Krishna and M. V. N. Murthy},
journal= {arXiv preprint arXiv:cond-mat/9301021},
year = {2008}
}
Comments
28 pages, LaTeX, 2 Figures