Geodesic
Essential and discrete spectra of the~three-particle Schr\"odinger operator on a~lattice
Teoretičeskaâ i matematičeskaâ fizika, Tome 170 (2012) no. 3, pp. 409-422

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We study the position of the essential spectrum of a three-body Schrödinger operator $H$. We evaluate the lower boundary of the essential spectrum of $H$ and prove that the number of eigenvalues located below the lower edge of the essential spectrum in the $H$ model is finite.
Keywords: essential spectrum, discrete spectrum, lower boundary of the essential spectrum, Schrödinger operator. 
@article{TMF_2012_170_3_a6,
     author = {Yu. Kh. Eshkabilov and R. R. Kucharov},
     title = {Essential and discrete spectra of the~three-particle {Schr\"odinger} operator on a~lattice},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {409--422},
     publisher = {mathdoc},
     volume = {170},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2012_170_3_a6/}
}
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Yu. Kh. Eshkabilov; R. R. Kucharov. Essential and discrete spectra of the~three-particle Schr\"odinger operator on a~lattice. Teoretičeskaâ i matematičeskaâ fizika, Tome 170 (2012) no. 3, pp. 409-422. http://geodesic.mathdoc.fr/item/TMF_2012_170_3_a6/