Faddeev eigenfunctions for point potentials in two dimensions

Details Faddeev eigenfunctions for point potentials in two dimensions Faddeev eigenfunctions for point potentials in two dimensions

2011-10-14

arxiv.org/abs/1110.3157v1

Physics Letters A 376 (2012) 1102-1106

Physics

Mathematical Physics

Scientific paper

10.1016/j.physleta.2012.02.025

We present explicit formulas for the Faddeev eigenfunctions and related
generalized scattering data for point (delta-type) potentials in two
dimensions. In particular, we obtain the first explicit examples of such
eigenfunctions with contour singularity in spectral parameter at a fixed real
energy.

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