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Matematicheskie Zametki, 2008, Volume 83, Issue 1, Pages 86–94
DOI: https://doi.org/10.4213/mzm4337 (Mi mzm4337) 		 
This article is cited in 8 scientific papers (total in 8 papers)

On the Structure of the Essential Spectrum of a Model Many-Body Hamiltonian

T. H. Rasulov

A. Navoi Samarkand State University
Full-text PDF (452 kB) Citations (8)
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DOI: https://doi.org/10.4213/mzm4337
Abstract: In this paper, we study the essential spectrum of a model lattice Hamiltonian describing a system with fluctuating number of particles ($0\le n\le2$) in the quasimomentum representation. The spectral properties are described in terms of the boundary values of a function of a complex variable, whose meaning is that of the kernel of the Schur complement
$$ H_{11}-z-H_{12}(H_{22}-z)^{-1}H_{12}^*. $$
Keywords: Schur complement, quasimomentum representation, many-body problem, fluctuating number of particles, essential spectrum.
Received: 20.03.2006
English version:
Mathematical Notes, 2008, Volume 83, Issue 1, Pages 80–87
DOI: https://doi.org/10.1134/S0001434608010100
Bibliographic databases:
UDC: 517.984
Language: Russian
Citation: T. H. Rasulov, “On the Structure of the Essential Spectrum of a Model Many-Body Hamiltonian”, Mat. Zametki, 83:1 (2008), 86–94; Math. Notes, 83:1 (2008), 80–87
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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