Email this article Multipoint scatterers with bound states at zero energy
- Authors: Grinevich P.G.1,2,3, Novikov R.G.4,5,6
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Affiliations:
- Landau Institute for Theoretical Physics, RAS
- Lomonosov Moscow State University
- Moscow Institute for Physics and Technology (State University)
- Centre de Mathématiques Appliquées
- Université Paris Saclay
- Institute of Earthquake Prediction Theory and Mathematical Geophysics, RAS
- Issue: Vol 193, No 2 (2017)
- Pages: 1675-1679
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/171500
- DOI: https://doi.org/10.1134/S0040577917110071
- ID: 171500
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Abstract
We study multipoint scatterers with bound states at zero energy in three-dimensional space. We construct examples of such scatterers with multiple zero eigenvalues or with strong multipole localization of zeroenergy bound states.
About the authors
P. G. Grinevich
Landau Institute for Theoretical Physics, RAS; Lomonosov Moscow State University; Moscow Institute for Physics and Technology (State University)
Author for correspondence.
Email: pgg@landau.ac.ru
Russian Federation, Chernogolovka, Moscow Oblast; Moscow; Dolgoprudny, Moscow Oblast
R. G. Novikov
Centre de Mathématiques Appliquées; Université Paris Saclay; Institute of Earthquake Prediction Theory and Mathematical Geophysics, RAS
Email: pgg@landau.ac.ru
France, Palaiseau; Paris; Moscow
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