Faddeev eigenfunctions for point potentials in two dimensions
Mathematical Physics
2012-02-28 v1 Analysis of PDEs
math.MP
Abstract
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.
Cite
@article{arxiv.1110.3157,
title = {Faddeev eigenfunctions for point potentials in two dimensions},
author = {Piotr Grinevich and Roman Novikov},
journal= {arXiv preprint arXiv:1110.3157},
year = {2012}
}