Summary
We consider a charged, elastically bound particle moving in a plane. A whisker of flux passes through the plane at the equilibrium point of the motion. The system is shown to have two ground states. It is argued that the mathematical difficulties of the model are due to the treatment of the flux whisker as an external vector potential. The method of Berry is used in order to obtain single-valued functions from Dirac functions.
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Zhu, X., Henneberger, W.C. Aharonov-Bohm effect in a 2-dimensional harmonic oscillator. Nuov Cim B 108, 331–337 (1993). https://doi.org/10.1007/BF02887492
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DOI: https://doi.org/10.1007/BF02887492