Geodesic
The infiniteness of the number of eigenvalues in the gap in the essential spectrum for the three-particle Schrödinger operator on a lattice
Teoretičeskaâ i matematičeskaâ fizika, Tome 159 (2009) no. 2, pp. 299-317 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a system of three arbitrary quantum particles on a three-dimensional lattice that interact via attractive pair contact potentials. We find a condition for a gap to appear in the essential spectrum and prove that there are infinitely many eigenvalues of the Hamiltonian of the corresponding three-particle system in this gap.
Keywords: three-particle system on a lattice, Schrödinger operator, essential spectrum, discrete spectrum, compact operator. 
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M. I. Muminov. The infiniteness of the number of eigenvalues in the gap in the essential spectrum for the three-particle Schrödinger operator on a lattice. Teoretičeskaâ i matematičeskaâ fizika, Tome 159 (2009) no. 2, pp. 299-317. http://geodesic.mathdoc.fr/item/TMF_2009_159_2_a8/

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