Sen, Diptiman (1992) Some supersymmetric features in the spectrum of anyons in a harmonic potential. In: Physical Review D, 46 (4). pp. 1846-1857.
Restricted to Registered users only
Download (2196Kb) | Request a copy
The energy spectrum of two or more anyons in a harmonic oscillator potential exhibits some supersymmetric features. The supersymmetry operators map a theory with statistics parameter $\theta$ to one described by $\theta+\pi$. Thus fermions and bosons are mapped into each other, whereas semions remain invariant under a combined action of supersymmetry and parity. All the states of a given theory fall into families. The energy levels of states within the same family differ by multiples of the harmonic frequency. There is a bosonic SO(2,1) symmetry for any value of $\theta$. Finally, supersymmetry explains why most energy levels for three anyons have a mirror symmetry about semions. Consequently, the third virial coefficient is exactly mirror symmetric.
|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:||22 Aug 2006|
|Last Modified:||19 Sep 2010 04:30|
Actions (login required)