Threshold effects for the generalized friedrichs model with the perturbation of rank one
A family H μ (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 ℤ 2 is considered. The existence or absence of the unique eigenvalue of the operator H,μ (p) lying below threshold depending on...
| Published in: | Abstract and Applied Analysis |
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| Format: | Article |
| Language: | English |
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2012
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| Online Access: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84866979615&doi=10.1155%2f2012%2f180953&partnerID=40&md5=d55ac225c7c66a6a230b59257f545b53 |
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2-s2.0-84866979615 Lakaev S.; Ibrahim A.; Kurbanov S. Threshold effects for the generalized friedrichs model with the perturbation of rank one 2012 Abstract and Applied Analysis 2012 10.1155/2012/180953 https://www.scopus.com/inward/record.uri?eid=2-s2.0-84866979615&doi=10.1155%2f2012%2f180953&partnerID=40&md5=d55ac225c7c66a6a230b59257f545b53 A family H μ (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 ℤ 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) ⊂ 2 is proved. The analyticity of corresponding eigenfunction is shown. © 2012 Saidakhmat Lakaev et al. 16870409 English Article All Open Access; Gold Open Access |
| author |
Lakaev S.; Ibrahim A.; Kurbanov S. |
| spellingShingle |
Lakaev S.; Ibrahim A.; Kurbanov S. Threshold effects for the generalized friedrichs model with the perturbation of rank one |
| author_facet |
Lakaev S.; Ibrahim A.; Kurbanov S. |
| author_sort |
Lakaev S.; Ibrahim A.; Kurbanov S. |
| title |
Threshold effects for the generalized friedrichs model with the perturbation of rank one |
| title_short |
Threshold effects for the generalized friedrichs model with the perturbation of rank one |
| title_full |
Threshold effects for the generalized friedrichs model with the perturbation of rank one |
| title_fullStr |
Threshold effects for the generalized friedrichs model with the perturbation of rank one |
| title_full_unstemmed |
Threshold effects for the generalized friedrichs model with the perturbation of rank one |
| title_sort |
Threshold effects for the generalized friedrichs model with the perturbation of rank one |
| publishDate |
2012 |
| container_title |
Abstract and Applied Analysis |
| container_volume |
2012 |
| container_issue |
|
| doi_str_mv |
10.1155/2012/180953 |
| url |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84866979615&doi=10.1155%2f2012%2f180953&partnerID=40&md5=d55ac225c7c66a6a230b59257f545b53 |
| description |
A family H μ (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 ℤ 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) ⊂ 2 is proved. The analyticity of corresponding eigenfunction is shown. © 2012 Saidakhmat Lakaev et al. |
| publisher |
|
| issn |
16870409 |
| language |
English |
| format |
Article |
| accesstype |
All Open Access; Gold Open Access |
| record_format |
scopus |
| collection |
Scopus |
| _version_ |
1812871802257408000 |