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Teoreticheskaya i Matematicheskaya Fizika, 1995, Volume 103, Number 1, Pages 54–62 (Mi tmf1286)  
This article is cited in 9 scientific papers (total in 9 papers)

Embedded eigenvalues and resonances of a generalized Friedrichs model

Zh. I. Abullaev, I. A. Ikromov, S. N. Lakaev

A. Navoi Samarkand State University
Full-text PDF (961 kB) Citations (9)
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Abstract: The existence of resonances and embedded eigenvalues of a multidimensional generalized Friedrichs model is studied. The existence of a Friedrichs model with a given number of eigenvalues located within the continuous spectrum is proved. The existence of resonances is shown, and the widths of these resonances are calculated.
Received: 17.02.1994
Revised: 05.09.1994
English version:
Theoretical and Mathematical Physics, 1995, Volume 103, Issue 1, Pages 390–397
DOI: https://doi.org/10.1007/BF02069783
Bibliographic databases:
Language: Russian
Citation: Zh. I. Abullaev, I. A. Ikromov, S. N. Lakaev, “Embedded eigenvalues and resonances of a generalized Friedrichs model”, TMF, 103:1 (1995), 54–62; Theoret. and Math. Phys., 103:1 (1995), 390–397
Citation in format AMSBIB
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\by Zh.~I.~Abullaev, I.~A.~Ikromov, S.~N.~Lakaev
\paper Embedded eigenvalues and resonances of a~generalized Friedrichs model
\jour TMF
\yr 1995
\vol 103
\issue 1
\pages 54--62
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1470937}
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\transl
\jour Theoret. and Math. Phys.
\yr 1995
\vol 103
\issue 1
\pages 390--397
\crossref{https://doi.org/10.1007/BF02069783}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RZ96200005}
Linking options:
  • https://www.mathnet.ru/eng/tmf1286
  • https://www.mathnet.ru/eng/tmf/v103/i1/p54
    • This publication is cited in the following 9 articles:
    1. T. Kh. Rasulov, E. B. Dilmurodov, “Osnovnye svoistva uravneniya Faddeeva dlya $2 \times 2$ operatornykh matrits”, Izv. vuzov. Matem., 2023, no. 12, 53–58  mathnet  crossref
    2. T. H. Rasulov, E. B. Dilmurodov, “Main Properties of the Faddeev Equation for 2 × 2 Operator Matrices”, Russ Math., 67:12 (2023), 47  crossref
    3. Shokhrukh Yu. Kholmatov, Saidakhmat N. Lakaev, Firdavsjon M. Almuratov, “On the spectrum of Schrödinger-type operators on two dimensional lattices”, Journal of Mathematical Analysis and Applications, 514:2 (2022), 126363  crossref
    4. Ufa Math. J., 11:4 (2019), 140–150  mathnet  crossref  isi
    5. M. I. Muminov, T. H. Rasulov, “Infiniteness of the number of eigenvalues embedded in the essential spectrum of a $2\times2$ operator matrix”, Eurasian Math. J., 5:2 (2014), 60–77  mathnet
    6. Saidakhmat Lakaev, Maslina Darus, Shaxzod Kurbanov, “Puiseux series expansion for an eigenvalue of the generalized Friedrichs model with perturbation of rank 1”, J. Phys. A: Math. Theor., 46:20 (2013), 205304  crossref
    7. Zh. I. Abdullaev, “Perturbation Theory for the Two-Particle Schrodinger Operator on a One-Dimensional Lattice”, Theoret. and Math. Phys., 145:2 (2005), 1551–1558  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    8. A. A. Arsen'ev, “Mathematical Model of Resonances and Tunneling in a System with a Bound State”, Theoret. and Math. Phys., 136:3 (2003), 1336–1345  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    9. Motovilov, AK, “Perturbation of a lattice spectral band by a nearby resonance”, Journal of Mathematical Physics, 42:6 (2001), 2490  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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