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Piotr Grinevich

Publications and source records attributed to Piotr Grinevich.

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Faddeev eigenfunctions for point potentials in two dimensions

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.

math-ph