Levinson theorem for Aharonov-Bohm scattering in two dimensions
arXiv:quant-ph/0603123 · doi:10.1103/PhysRevA.74.052703
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.
5 pages (REVTeX)