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Teoreticheskaya i Matematicheskaya Fizika, 2006, Volume 148, Number 3, Pages 428–443
DOI: https://doi.org/10.4213/tmf2325 (Mi tmf2325) 		 
This article is cited in 9 scientific papers (total in 9 papers)

A Hunziker–van Winter–Zhislin theorem for a four-particle lattice Schrödinger operator

M. I. Muminov

A. Navoi Samarkand State University
Full-text PDF (444 kB) Citations (9)
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DOI: https://doi.org/10.4213/tmf2325
Abstract: We consider a discrete Schrödinger operator for four arbitrary particles with short-range pair potentials. We describe the position and the structure of its essential spectrum and prove the Hunziker–van Winter–Zhislin theorem.
Keywords: cluster decomposition, channel operator, essential spectrum, compact operator.
Received: 11.01.2006
Revised: 10.03.2006
English version:
Theoretical and Mathematical Physics, 2006, Volume 148, Issue 3, Pages 1236–1250
DOI: https://doi.org/10.1007/s11232-006-0114-5
Bibliographic databases:
Language: Russian
Citation: M. I. Muminov, “A Hunziker–van Winter–Zhislin theorem for a four-particle lattice Schrödinger operator”, TMF, 148:3 (2006), 428–443; Theoret. and Math. Phys., 148:3 (2006), 1236–1250
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf2325
  • https://www.mathnet.ru/eng/tmf/v148/i3/p428
    • This publication is cited in the following 9 articles:
    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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    References:83
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