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Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 129, Number 3, Pages 415–431
DOI: https://doi.org/10.4213/tmf546 (Mi tmf546) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Finiteness of the Discrete Spectrum of the Hamiltonian of a System of Three Arbitrary Particles on a Lattice

S. N. Lakaeva, S. M. Samatov

a A. Navoi Samarkand State University
Full-text PDF (289 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf546
Abstract: We prove that the number of bound states for the Hamiltonian of a system of three arbitrary particles interacting through pairwise attraction potentials on a three-dimensional lattice is finite in the cases where (1) none of the two-particle subsystems has a virtual level and (2) only one of the two-particle subsystems has a virtual level.
Received: 10.01.2001
English version:
Theoretical and Mathematical Physics, 2001, Volume 129, Issue 3, Pages 1655–1668
DOI: https://doi.org/10.1023/A:1013011300854
Bibliographic databases:
Language: Russian
Citation: S. N. Lakaev, S. M. Samatov, “Finiteness of the Discrete Spectrum of the Hamiltonian of a System of Three Arbitrary Particles on a Lattice”, TMF, 129:3 (2001), 415–431; Theoret. and Math. Phys., 129:3 (2001), 1655–1668
Citation in format AMSBIB
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\vol 129
\issue 3
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:89
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