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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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|
|Additional Information:||Copyright of this article belongs to American Physical Society.|
|Department/Centre:||Division of Physical & Mathematical Sciences > Centre for Theoretical Studies|
|Date Deposited:||18 Oct 2006|
|Last Modified:||19 Sep 2010 04:31|
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