Physics – Quantum Physics
Scientific paper
2006-03-14
Phys. Rev. A 74, 052703 (2006)
Physics
Quantum Physics
5 pages (REVTeX)
Scientific paper
10.1103/PhysRevA.74.052703
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.
Mertens Franz G.
Sheka Denis D.
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