ON POSITIVE EIGENVALUES OF THE DISCRETE SCHRÖDINGER OPERATOR WITH A NON-LOCAL POTENTIAL
Keywords:
Discrete Schrödinger operator, Dimensional lattice, Non-local potential, Dirac delta function, Shift operator, Positive eigenvaluesAbstract
On the dimensional lattice the discrete Schrödinger operator with a non-local potential constructed via the Dirac delta function and shift operator considered. The dependence of positive eigenvalues existence of the operator on the parameters is explicitly derived.
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Yafaev D. R., Scattering Theory: Some Old and New Problems// Lecture Notes in Mathematics, 1735, Springer-Verlag, Berlin, 2000.
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