Asymptotic analysis and spectrum of three anyons

Details Asymptotic analysis and spectrum of three anyons Asymptotic analysis and spectrum of three anyons

1993-01-15

arxiv.org/abs/cond-mat/9301021v1

Int.J.Mod.Phys.A9:2545-2562,1994

Physics

Condensed Matter

28 pages, LaTeX, 2 Figures

Scientific paper

10.1142/S0217751X94001011

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.

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