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Teoreticheskaya i Matematicheskaya Fizika, 2017, Volume 193, Number 2, Pages 309–314
DOI: https://doi.org/10.4213/tmf9349 (Mi tmf9349) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Multipoint scatterers with bound states at zero energy

P. G. Grinevichabc, R. G. Novikovdef

a Landau Institute for Theoretical Physics, RAS, Chernogolovka, Moscow Oblast, Russia
b Lomonosov Moscow State University, Moscow, Russia
c Moscow Institute for Physics and Technology (State University), Dolgoprudny, Moscow Oblast, Russia
d Centre de Mathématiques Appliquées, École Polytechnique, Palaiseau, France
e Université-Paris Saclay, Paris, France
f Institute of Earthquake Prediction Theory and Mathematical Geophysics, RAS, Moscow, Russia
Full-text PDF (374 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf9349
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 zero-energy bound states.
Keywords: Schrödinger equation, multipoint scatterer, bound state, zero energy, localization.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Russian Foundation for Basic Research 17-51-150001
1545
The research of P. G. Grinevich is supported in part by the program of the Presidium of the Russian Academy of Sciences "Fundamental problems of nonlinear dynamics" and the Russian Foundation for Basic Research (Grant No. 17-51-150001 "Quasilinear equations, inverse problems, and their applications").
The research of R. G. Novikov is supported in part by PRC 1545 CNRS/RFBR: équations quasi-linéaires, problèmes inverses et leurs applications.
Received: 12.10.2016
English version:
Theoretical and Mathematical Physics, 2017, Volume 193, Issue 2, Pages 1675–1679
DOI: https://doi.org/10.1134/S0040577917110071
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: P. G. Grinevich, R. G. Novikov, “Multipoint scatterers with bound states at zero energy”, TMF, 193:2 (2017), 309–314; Theoret. and Math. Phys., 193:2 (2017), 1675–1679
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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