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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1675-1679
Number of pages	5
Journal	Theoretical and Mathematical Physics
Volume	193
Issue number	2
DOIs	https://doi.org/10.1134/S0040577917110071
Publication status	Published - 1 Nov 2017

Keywords

Schrödinger equation
bound state
localization
multipoint scatterer
zero energy

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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",

author = "Grinevich, \{P. G.\} and Novikov, \{R. G.\}",

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AU - Novikov, R. G.

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N2 - 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.

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

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SP - 1675

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JO - Theoretical and Mathematical Physics

JF - Theoretical and Mathematical Physics

IS - 2

ER -

Multipoint scatterers with bound states at zero energy

Abstract

Keywords

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