Multipoint scatterers with zero-energy bound states
P.G. Grinevich (1), R.G. Novikov (2) ((1) L.D. Landau Institute for, Theoretical Physics RAS, Chernogolovka, Moscow region, Russia, Moscow State, University, Moscow, Russia, Moscow Physical-Technical Institute, (2) Centre, de Math\'ematiques Appliqu\'ees, \'Ecole Polytechnique
TL;DR
This paper investigates three-dimensional multipoint scatterers that support zero-energy bound states, providing examples with multiple zero eigenvalues and strong multipole localization, advancing understanding of quantum scattering phenomena.
Contribution
It introduces new examples of multipoint scatterers exhibiting zero-energy bound states with multiple eigenvalues and multipole localization, expanding theoretical models.
Findings
Examples of multipoint scatterers with zero-energy bound states
Demonstration of multiple zero eigenvalues
Evidence of strong multipole localization
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMicrowave Imaging and Scattering Analysis · Optical and Acousto-Optic Technologies · Electromagnetic Scattering and Analysis