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

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

2008-05-13

arxiv.org/abs/0805.1770v2

J. Phys. A 41 (2008) 352002

Physics

Condensed Matter

Statistical Mechanics

9 pages, 2 figures, minor changes, references updated

Scientific paper

10.1088/1751-8113/41/35/352002

We propose an exactly solvable model of one-dimensional anyons with competing $\delta$-function and derivative $\delta$-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 Schr\"{o}dinger equation. This more general anyon model exhibits richer physics than that of the recently studied one-dimensional model of $\delta$-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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