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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 166, Number 1, Pages 95–109
DOI: https://doi.org/10.4213/tmf6598 (Mi tmf6598) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Essential spectrum of a model operator associated with a three-particle system on a lattice

T. H. Rasulovab

a Bukhara State University, Bukhara, Uzbekistan
b University of Bern, Bern, Switzerland
Full-text PDF (450 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf6598
Abstract: We consider a model operator $H$ associated with the system of three particles interacting via nonlocal pair potentials on a $\nu$-dimensional lattice. We identify channel operators and use their spectra to describe the position and structure of the essential spectrum of $H$. We obtain an analogue of the Faddeev equation for the eigenfunctions of $H$.
Keywords: model operator, nonlocal potential, Hilbert–Schmidt class, Faddeev equation, essential spectrum, channel operator.
Received: 16.05.2010
Revised: 16.06.2010
English version:
Theoretical and Mathematical Physics, 2011, Volume 166, Issue 1, Pages 81–93
DOI: https://doi.org/10.1007/s11232-011-0007-0
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: T. H. Rasulov, “Essential spectrum of a model operator associated with a three-particle system on a lattice”, TMF, 166:1 (2011), 95–109; Theoret. and Math. Phys., 166:1 (2011), 81–93
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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