Non-uniqueness of phase shift in central scattering due to monodromy

Details Non-uniqueness of phase shift in central scattering due to monodromy Non-uniqueness of phase shift in central scattering due to monodromy

2008-07-16

arxiv.org/abs/0807.2489v1

Phys.Rev.Lett.101:070405,2008

Physics

Mathematical Physics

to appear in PRL

Scientific paper

10.1103/PhysRevLett.101.070405

Scattering at a central potential is completely characterized by the phase shifts which are the differences in phase between outgoing scattered and unscattered partial waves. In this letter it is shown that, for 2D scattering at a repulsive central potential, the phase shift cannot be uniquely defined due to a topological obstruction which is similar to monodromy in bound systems.

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