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

Authors

Zahriddin Muminov, National University of UzbekistanFollow
Shukhrat Lakaev, Tashkent Institute of Irrigation and Agricultural Mechanization Engineers Tashkent, UzbekistanFollow

Abstract

On the d-dimensional lattice 𝕋^d, d= 1, 2 the discrete Schrödinger operator H_λµ 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.

First Page

47

Last Page

58

References

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Recommended Citation

Muminov, Zahriddin and Lakaev, Shukhrat (2020) "On negative eigenvalues of the discrete Schrödinger operator with non-local potential," Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences: Vol. 3: Iss. 1, Article 4.
DOI: https://doi.org/10.56017/2181-1318.1052