摘要
In order to analyze a limiting case of the 1D delta anyon model,the coupling strength of the δ interactionc is modified to become a function of the anyonic parameter κ.A pedagogic derivation of the solution for this modifiedmodel using the method of anyon-boson mapping plus Bethe ansatz is presented.The limiting case as κ→π andsimultaneously c→0,which was previously neglected,is analyzed.Some unexpected properties of this limiting case arediscovered.The BAEs are compared with previous results.
In order to analyze a limiting case of the 1D delta anyon model, the coupling strength of the δ interaction c is modified to become a function of the anyonic parameter κ. A pedagogic derivation of the solution for this modified model using the method of anyon-boson mapping plus Bethe ansatz is presented. The limiting case as κ → π and simultaneously c → 0, which was previously neglected, is analyzed. Some unexpected properties of this limiting case are discovered. The BAEs are compared with previous results.
基金
National Fundamental Research Program of China under Grant No.2001CB309310
National Natural Science Foundation of China under Grant No.60573008