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Levinson theorem for Aharonov-Bohm scattering in two dimensions

Denis D. Sheka·Franz G. Mertens
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Abstract

We apply the recently generalized Levinson theorem for potentials with inverse square singularities [Sheka et al, Phys.Rev.A, v.68, 012707 (2003)] to Aharonov-Bohm systems in two-dimensions. By this theorem, the number of bound states in a given m-th partial wave is related to the phase shift and the magnetic flux. The results are applied to 2D soliton-magnon scattering.

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Denis D. Sheka, Franz G. Mertens. 2006-09-25. Levinson theorem for Aharonov-Bohm scattering in two dimensions. https://doi.org/10.1103/physreva.74.052703

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