Threshold Effects for the Generalized Friedrichs Model with the Perturbation of Rank One
Joint Authors
Lakaev, Saidakhmat
Ibrahim, Arsmah
Kurbanov, Shaxzod
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-30
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
A family Hμ(p), μ>0, p∈?2 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 values of μ>0 and p∈Uδ(0)⊂?2 is proved.
The analyticity of corresponding eigenfunction is shown.
American Psychological Association (APA)
Lakaev, Saidakhmat& Ibrahim, Arsmah& Kurbanov, Shaxzod. 2012. Threshold Effects for the Generalized Friedrichs Model with the Perturbation of Rank One. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-452384
Modern Language Association (MLA)
Lakaev, Saidakhmat…[et al.]. Threshold Effects for the Generalized Friedrichs Model with the Perturbation of Rank One. Abstract and Applied Analysis No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-452384
American Medical Association (AMA)
Lakaev, Saidakhmat& Ibrahim, Arsmah& Kurbanov, Shaxzod. Threshold Effects for the Generalized Friedrichs Model with the Perturbation of Rank One. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-452384
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452384
