Perturbative Bosonic End Anyon Spectra and Contact Interactions
G. Amelino-Camelia
Abstract
Bosonic end perturbative calculations for quantum mechanical anyon systems require a regularization. I regularize by adding a specific δ-function potential to the Hamiltonian. The reliability of this regularization procedure is verified by comparing its results for the 2-anyon in harmonic potential system with the known exact solutions. I then use the δ-function regularized bosonic end perturbation theory to test some recent conjectures concerning the unknown portion of the many-anyon spectra.
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