Chitra, R and Sen, Diptiman (1992) Ground state of many anyons in a harmonic potential. In: Physical Review B, 46 (17). pp. 10923-10930.
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The ground-state energy and wave function of many anyons in a harmonic oscillator potential is studied using perturbation theory from the fermionic and bosonic ends. As the number of anyons increases to infinity, the ground-state energy scales with the power 3/2. As the statistics parameter changes, there are repeated level crossings between states having different angular momenta. Hence the ground state is only piecewise continuous, and the number of pieces increases with the number of anyons. This is to be contrasted with the problem of interpolating statistics in one dimension where there are no level crossings in the ground state for any number of particles.
|Item Type:||Journal Article|
|Additional Information:||The copyright of this article belongs to American Physical Society.|
|Department/Centre:||Division of Physical & Mathematical Sciences > Centre for Theoretical Studies
Division of Physical & Mathematical Sciences > Physics
|Date Deposited:||06 Nov 2006|
|Last Modified:||19 Sep 2010 04:32|
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