Faddeev eigenfunctions for multipoint potentials
Mathematical Physics
2012-11-05 v1 Analysis of PDEs
Functional Analysis
math.MP
Spectral Theory
Abstract
We present explicit formulas for the Faddeev eigenfunctions and related generalized scattering data for multipoint potentials in two and three dimensions. For single point potentials in 3D such formulas were obtained in an old unpublished work of L.D. Faddeev. For single point potentials in 2D such formulas were given recently by the authors in arXiv:1110.3157 .
Cite
@article{arxiv.1211.0292,
title = {Faddeev eigenfunctions for multipoint potentials},
author = {P. G. Grinevich and R. G. Novikov},
journal= {arXiv preprint arXiv:1211.0292},
year = {2012}
}
Comments
Latex, 19 pages, 4 figures