Spectrum of three anyons in a harmonic-oscillator potential

Murthy, M. V. N. ; Law, J. ; Brack, M. ; Bhaduri, R. K. (1992) Spectrum of three anyons in a harmonic-oscillator potential Physical Review B, 45 (8). pp. 4289-4295. ISSN 0163-1829

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Official URL: http://prb.aps.org/abstract/PRB/v45/i8/p4289_1

Related URL: http://dx.doi.org/10.1103/PhysRevB.45.4289

Abstract

The Hamiltonian of three anyons in a harmonic-oscillator potential is diagonalized using a set of harmonic-oscillator states, by treating these as bosons or fermions with an appropriate statistical interaction. The interpolation between the bosonic and fermionic limits is established, and the spectrum of the low-lying states is displayed.

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