Multipoint scatterers with zero-energy bound states

Piotr Grinevich (1) , Roman Novikov (2)

1 L.D. Landau Institute for Theoretical Physics of RAS
2 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique

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.

Domaines: Physique mathématique [math-ph]; Théorie spectrale [math.SP]

Piotr Grinevich, Roman Novikov. Multipoint scatterers with zero-energy bound states. Theoretical and Mathematical Physics , 2017, 193 (2), pp.1675-1679. ⟨hal-01378022⟩