Geodesic
The~Efimov effect for a~model ``three-particle'' discrete Schr\"odinger operator
Teoretičeskaâ i matematičeskaâ fizika, Tome 164 (2010) no. 1, pp. 78-87

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We study the existence of an infinite number of eigenvalues for a model “three-particle” Schrödinger operator $H$. We prove a theorem on the necessary and sufficient conditions for the existence of an infinite number of eigenvalues of the model operator $H$ below the lower boundary of its essential spectrum.
Keywords: essential spectrum, discrete spectrum, Efimov effect. 
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     author = {Yu. Kh. \`Eshkabilov},
     title = {The~Efimov effect for a~model ``three-particle'' discrete {Schr\"odinger} operator},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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Yu. Kh. Èshkabilov. The~Efimov effect for a~model ``three-particle'' discrete Schr\"odinger operator. Teoretičeskaâ i matematičeskaâ fizika, Tome 164 (2010) no. 1, pp. 78-87. http://geodesic.mathdoc.fr/item/TMF_2010_164_1_a4/