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International conference "Geometrical Methods in Mathematical Physics"
December 17, 2011 12:45–13:30, Moscow, Lomonosov Moscow State University
 


Faddeev eigenfunctions for point potentials in two dimensions

P. G. Grinevicha, R. G. Novikovb

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b CNRS — Laboratoire de Mathématiques Jean Leray, Département de Mathématiques, Universite de Nantes

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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.

Language: English

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