Two anyons on the sphere: nonlinear states and spectrum

Alexios P. Polychronakos; Stéphane Ouvry

doi:10.1016/j.nuclphysb.2019.114906

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arXiv · 1910.00587

Two anyons on the sphere: nonlinear states and spectrum

Alexios P. Polychronakos·Stéphane Ouvry

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Abstract

We study the energy spectrum of two anyons on the sphere in a constant magnetic field. Making use of rotational invariance we reduce the energy eigenvalue equation to a system of linear differential equations for functions of a single variable, a reduction analogous to separating center of mass and relative coordinates on the plane. We solve these equations by a generalization of the Frobenius method and derive numerical results for the energies of non-analytically derivable states.

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Alexios P. Polychronakos, Stéphane Ouvry. 2019-10-01. Two anyons on the sphere: nonlinear states and spectrum. https://doi.org/10.1016/j.nuclphysb.2019.114906

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