ABOUT NUMBER AND LOCATION OF EIGENVALUES OF THE DISCRETE SCHRÖDINGER OPERATOR

• Alladustova Iroda Ulugmuratovna

  Tashkent University of Applied Sciences

  Author

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

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