Threshold Effects for the Generalized Friedrichs Model with the Perturbation of Rank One

A family Hμ(p), μ>0, p∈𝕋2 of the Friedrichs models with the perturbation of rank one, associated to a system of two particles, moving on the two-dimensional lattice ℤ2 is considered. The existence or absence of the unique eigenvalue of the operator Hμ(p) lying below threshold depending on the va...

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Bibliographic Details
Main Authors: Saidakhmat Lakaev, Arsmah Ibrahim, Shaxzod Kurbanov
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/180953