Ma'lumot

THE NUMBER OF EIGENVALUES OF THE DISCRETE SCHRÖDINGER OPERATOR ASSOCIATED TO A SYSTEM OF TWO BOSONS ON A LATTICE

I.U.Alladustova


We consider the discrete Schrödinger operators associated to a system
of two bosons with an indefinite sign interaction potential with energy on the nearest
neighboring sites and with energy on the next neighboring sites on the one-dimensional
lattice . We obtain the conditions on the parameters for the operator to have zero, one or two
eigenvalues outside the essential spectrum.



https://doi.org/10.59251/2181-1296.v3.1331.618

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