Abstract
We consider a model operator H associated with a system of three particles on a lattice interacting via nonlocal pair potentials. Under some natural conditions on the parameters specifying this model operator H, we prove the finiteness of its discrete spectrum.
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Original Russian Text © T.Kh. Rasulov and R.T. Mukhitdinov, 2014, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, No. 1, pp. 61–70.
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Rasulov, T.K., Mukhitdinov, R.T. The finiteness of the discrete spectrum of a model operator associated with a system of three particles on a lattice. Russ Math. 58, 52–59 (2014). https://doi.org/10.3103/S1066369X1401006X
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DOI: https://doi.org/10.3103/S1066369X1401006X