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2012 Threshold Effects for the Generalized Friedrichs Model with the Perturbation of Rank One
Saidakhmat Lakaev, Arsmah Ibrahim, Shaxzod Kurbanov
Abstr. Appl. Anal. 2012: 1-14 (2012). DOI: 10.1155/2012/180953

Abstract

A family H μ ( p ) , μ > 0 , p 𝕋 2 of the Friedrichs models with the perturbation of rank one, associated to a system of two particles, moving on the two-dimensional lattice 2 is considered. The existence or absence of the unique eigenvalue of the operator H μ ( p ) lying below threshold depending on the values of μ > 0 and p U δ ( 0 ) 𝕋 2 is proved. The analyticity of corresponding eigenfunction is shown.

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Saidakhmat Lakaev. Arsmah Ibrahim. Shaxzod Kurbanov. "Threshold Effects for the Generalized Friedrichs Model with the Perturbation of Rank One." Abstr. Appl. Anal. 2012 1 - 14, 2012. https://doi.org/10.1155/2012/180953

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1247.81120
MathSciNet: MR2965466
Digital Object Identifier: 10.1155/2012/180953

Rights: Copyright © 2012 Hindawi

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