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Limiting Case of 1D Delta Anyon Model
Authors:ZHU Ren-Gui and WANG An-Min
Affiliation:1.College of Physics and Electronic Information, AnhuiNormal University, Wuhu 241000, China;2.Department of Modern Physics, University of Science and Technology of China, Hefei230026, China
Abstract:In order to analyze a limiting case of the 1D delta anyon model, thecoupling strength of the δ interaction c is modified tobecome a function of the anyonic parameter κ. A pedagogicderivation of the solution for this modified model using the methodof anyon-boson mapping plus Bethe ansatz is presented. The limitingcase as κ → π and simultaneously c → 0, which waspreviously neglected, is analyzed. Some unexpected properties of thislimiting case are discovered. The BAEs are compared with previousresults.
Keywords:anyon   Bethe ansatz   
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