Multipoint scatterers with zero-energy bound states

Abstract

We study multipoint scatterers with zero-energy bound states in three dimensions. We present examples of such scatterers with multiple zero eigenvalue or with strong multipole localization of zero-energy bound states.

arXiv commentLaTeX, 7 pages, minor corrections

References in corpus (1)

• Two-dimensional Schroedinger operators with fast decaying potential and multidimensional $L_2$-kernel