Article

The finiteness of the discrete spectrum of a model operator associated with a system of three particles on a lattice

Tulkin H. RasulovBukhara State University, ul. M. Ikbol 11, Bukhara, 200100, Republic of UzbekistanR. T. MukhitdinovBukhara State University, ul. M. Ikbol 11, Bukhara, 200100, Republic of Uzbekistan

Russian Mathematicsjournal2014en

ABI

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.

Topics

Spectral Theory in Mathematical Physics Differential Equations and Boundary Problems Numerical methods in inverse problems

Identifiers

DOI: 10.3103/s1066369x1401006x

Citations and references

Cited by 7 15 references

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