Faddeev eigenfunctions for multipoint potentials
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 For single point potentials in 3D such formulas were obtained in an old unpublished work of L.D. Faddeev.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 .
- Publication:
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arXiv e-prints
- Pub Date:
- November 2012
- DOI:
- arXiv:
- arXiv:1211.0292
- Bibcode:
- 2012arXiv1211.0292G
- Keywords:
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- Mathematical Physics;
- Mathematics - Analysis of PDEs;
- Mathematics - Functional Analysis;
- Mathematics - Spectral Theory
- E-Print:
- Latex, 19 pages, 4 figures