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Funktsional'nyi Analiz i ego Prilozheniya, 2002, Volume 36, Issue 3, Pages 56–60
DOI: https://doi.org/10.4213/faa204 (Mi faa204) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Brief communications

On the Finiteness of the Discrete Spectrum of a Four-Particle Lattice Schrödinger Operator

S. A. Albeverioa, S. N. Lakaevb, Zh. I. Abdullaevb

a University of Bonn, Institute for Applied Mathematics
b A. Navoi Samarkand State University
Full-text PDF (143 kB) Citations (5)
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DOI: https://doi.org/10.4213/faa204
Abstract: A Hamiltonian describing four bosons that move on a lattice and interact by means of pair zero-range attractive potentials is considered. A stronger version of the Hunziker–Van Vinter–Zhislin theorem on the essential spectrum is established. It is proved that the set of eigenvalues lying to the left of the essential spectrum is finite for any interaction energy of two bosons and is empty if this energy is sufficiently small.
Keywords: Schrödinger equation, boson, Faddeev integral equation.
Received: 20.03.2000
English version:
Functional Analysis and Its Applications, 2002, Volume 36, Issue 3, Pages 212–216
DOI: https://doi.org/10.1023/A:1020226321856
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: S. A. Albeverio, S. N. Lakaev, Zh. I. Abdullaev, “On the Finiteness of the Discrete Spectrum of a Four-Particle Lattice Schrödinger Operator”, Funktsional. Anal. i Prilozhen., 36:3 (2002), 56–60; Funct. Anal. Appl., 36:3 (2002), 212–216
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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