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On negative eigenvalues of the discrete Schrödinger operator with non-local potential

Zahriddin MuminovSh. S. LakaevNational University of Uzbekistan: Mathematics and Natural Sciences
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On the d-dimensional lattice 𝕋d, d= 1, 2 the discrete Schrödinger operator Hλµ with non-local potential constructed via the Dirac delta function and shift operator is considered. The dependency of negative eigenvalues of the operator on the parameters is explicitly derived.

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