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arXiv · 0805.1770

One-dimensional anyons with competing $δ$-function and derivative $δ$-function potentials

M. T. Batchelor·X. -W. Guan·A. Kundu
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Abstract

We propose an exactly solvable model of one-dimensional anyons with competing $δ$-function and derivative $δ$-function interaction potentials. The Bethe ansatz equations are derived in terms of the $N$-particle sector for the quantum anyonic field model of the generalized derivative nonlinear Schrödinger equation. This more general anyon model exhibits richer physics than that of the recently studied one-dimensional model of $δ$-function interacting anyons. We show that the anyonic signature is inextricably related to the velocities of the colliding particles and the pairwise dynamical interaction between particles.

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M. T. Batchelor, X. -W. Guan, A. Kundu. 2008-07-09. One-dimensional anyons with competing $δ$-function and derivative $δ$-function potentials. https://doi.org/10.1088/1751-8113%2F41%2F35%2F352002

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