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Physics Letters B

Volume 269, Issues 3–4, 31 October 1991, Pages 330-338
Physics Letters B

Perturbative ground state energy of three anyons in a harmonic potential

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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.

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Cited by (0)

2

Unité de Recherche des Universités Paris 11 et Paris 6 associée au CNRS.

1

Permanent address: Institute of Physics, Sachivalaya Marg Bhubaneswar 751005, India.

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