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arXiv · hep-th/9512186

A Class of Exact Solutions For N-Anyons in a N-body Potential

Avinash Khare
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Abstract

A class of exact solutions are obtained for the problem of N-anyons interacting via the N-body potential $V (\vec x_1,\vec x_2,...,\vec x_N)$ = $-{e^2\over\sqrt{{1\over N}\sum_{i<j} (\vec x_i-\vec x_j)^2}}$ Unlike the oscillator case the resulting spectrum is not linear in the anyon parameter $α(0\leq α\leq 1)$. However, a la oscillator case, cross-over between the ground states is shown to occur for N-anyons $(N\geq 3)$ experiencing the above potential.

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Avinash Khare. 1995-12-21. A Class of Exact Solutions For N-Anyons in a N-body Potential. https://doi.org/10.1016/0375-9601(96)00608-1

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