Multipoint scatterers with bound states at zero energy

P. G. Grinevich; R. G. Novikov

doi:10.1134/S0040577917110071

Multipoint scatterers with bound states at zero energy

P. G. Grinevich
, R. G. Novikov

Landau Institute for Theoretical Physics, Russian Academy of Sciences
Moscow State University
Moscow Institute of Physics and Technology
Université Paris-Saclay
IEPT RAS

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Pages (de - à)	1675-1679
Nombre de pages	5
journal	Theoretical and Mathematical Physics
Volume	193
Numéro de publication	2
Les DOIs	https://doi.org/10.1134/S0040577917110071
état	Publié - 1 nov. 2017

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10.1134/S0040577917110071

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title = "Multipoint scatterers with bound states at zero energy",

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.",

keywords = "Schr{\"o}dinger equation, bound state, localization, multipoint scatterer, zero energy",

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AB - 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.

KW - Schrödinger equation

KW - bound state

KW - localization

KW - multipoint scatterer

KW - zero energy

U2 - 10.1134/S0040577917110071

DO - 10.1134/S0040577917110071

M3 - Article

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VL - 193

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EP - 1679

JO - Theoretical and Mathematical Physics

JF - Theoretical and Mathematical Physics

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ER -

Multipoint scatterers with bound states at zero energy

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