0603123v3

related topics
{energy, state, states}
{equation, function, exp}
{wave, scattering, interference}
{let, theorem, proof}
{field, particle, equation}
{cos, sin, state}
{state, states, coherent}

Levinson theorem for Aharonov-Bohm scattering in two dimensions

Denis D. Sheka, Franz G. Mertens

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.

oai_identifier:
oai:arXiv.org:quant-ph/0603123
categories:
quant-ph
comments:
5 pages (REVTeX)
doi:
10.1103/PhysRevA.74.052703
arxiv_id:
quant-ph/0603123
journal_ref:
Phys. Rev. A 74, 052703 (2006)
created:
2006-03-14
updated:
2006-09-25

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