Levinson theorem for Aharonov-Bohm scattering in two dimensions
Quantum Physics
2007-05-23 v3
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.
Keywords
Cite
@article{arxiv.quant-ph/0603123,
title = {Levinson theorem for Aharonov-Bohm scattering in two dimensions},
author = {Denis D. Sheka and Franz G. Mertens},
journal= {arXiv preprint arXiv:quant-ph/0603123},
year = {2007}
}
Comments
5 pages (REVTeX)