Perturbative ground state energy of three anyons in a harmonic potential

Khare, Avinash ; McCabe, John (1991) Perturbative ground state energy of three anyons in a harmonic potential Physics Letters B, 269 (3-4). pp. 330-338. ISSN 0370-2693

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Official URL: http://www.sciencedirect.com/science/article/pii/0...

Related URL: http://dx.doi.org/10.1016/0370-2693(91)90180-X

Abstract

We calculate the ground state energy of three anyons in a harmonic potential near fermionic statistics. The energy is given by E0(α)=ω[4+1.300α2+O(α3)], where 4ω is the ground state energy of three fermions. We compare this with the energy of the exact eigenstate that interpolates to the ground state at α=1 (bosonic statistics). There is a cross-over between ground states at α=0.3 where the two results coincide.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
ID Code:82100
Deposited On:09 Feb 2012 09:56
Last Modified:09 Feb 2012 09:56

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