Work

Faddeev eigenfunctions for multipoint potentials

Year: 2012

Type: preprint

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 For single point potentials in 3D such formulas were obtained in an old unpublished work of L.D. Faddeev.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 .

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1211.0292

Authors: Grinevich, P. G., Novikov, R. G.

Institutions: Moscow Institute of Physics and Technology, Landau Institute for Theoretical Physics, Lomonosov Moscow State University, Centre National de la Recherche Scientifique, École Polytechnique, Centre de Mathématiques Appliquées de l'École polytechnique

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Russian Foundation for Basic Research

OpenAlex ID: W2964314946

Cites:

Cited by: 12

Related to: 10