Sen, Diptiman (1992) Spectrum of three anyons in a harmonic potential and the third virial coefficient Physical Review Letters, 68 (20). pp. 2977-2980. ISSN 0031-9007
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Official URL: http://prl.aps.org/abstract/PRL/v68/i20/p2977_1
Related URL: http://dx.doi.org/10.1103/PhysRevLett.68.2977
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 θ is equal to the energy of its partner state at π-θ. Bosons, semions, and fermions have θ=0,π/2, and π, respectively. From this, we show that the third virial coefficient of an ideal anyon gas is exactly mirror symmetric about semions.
Item Type: | Article |
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Source: | Copyright of this article belongs to The American Physical Society. |
ID Code: | 45574 |
Deposited On: | 28 Jun 2011 05:39 |
Last Modified: | 28 Jun 2011 05:39 |
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