Sen, Diptiman
(1992)
*Spectrum of Three Anyons in a Harmonic Potential and the Third Virial Coefficient.*
In: Physical Review Letters, 68
(20).
pp. 2977-2980.

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## Abstract

We use supersymmetric quantum mechanics to show that the spectrum of three anyons in a harmonic potential exhibits an almost complete mirror symmetry about semions. Barring a subset of exactly solved states, all states come in pairs such that the energy of one state with the statistics parameter $\theta$ is equal to the energy of its partner state at $\pi-\theta$. Bosons, semions, and fermions have $\theta=0,\pi/2$, and $\pi$, respectively. From this, we show that the third virial coefficient of an ideal anyon gas is exactly mirror symmetric about semions.

Item Type: | Journal Article |
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Additional Information: | Copyright of this article belongs to American Physical Society. |

Department/Centre: | Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003) |

Depositing User: | Girish Kumar N |

Date Deposited: | 18 Oct 2006 |

Last Modified: | 19 Sep 2010 04:31 |

URI: | http://eprints.iisc.ac.in/id/eprint/8254 |

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