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Physics Letters B

On the bosonic end perturbative approaches to the study of anyons

Giovanni Amelino-camelia A

Published Jul 1, 1992• 13 citations
Publisher
DOI
10.1016/0370-2693(92)90164-y

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Bosonic end perturbative calculations for quantum mechanical anyon systems require a regularization. I regularize by adding a specific delta\\deltadelta-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 delta\\deltadelta-function regularized bosonic end perturbation theory to test some recent conjectures concerning the unknown portion of the many-anyon spectra.
In bosonic and perturbative calculations for quantum mechanical anyon systems a regularization and renormalization procedure, analogous to those used in field theory, is necessary. I examine the reliability and the physical interpretation of the most commonly used bosonic end regularization procedures. I then use the regularization procedure with the most transparent physical intepretation to derive some bosnic end perturbation theory results on anyon spectra, including a three-anyon ground state energy.