Faddeev eigenfunctions for point potentials in two dimensions
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.
- Publication:
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Physics Letters A
- Pub Date:
- February 2012
- DOI:
- arXiv:
- arXiv:1110.3157
- Bibcode:
- 2012PhLA..376.1102G
- Keywords:
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- Mathematical Physics;
- Mathematics - Analysis of PDEs
- E-Print:
- Physics Letters A 376 (2012) 1102-1106