Maqola

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

Zahriddin MuminovSh. S. LakaevTashkent Institute of Irrigation and Agricultural Mechanization Engineers, Tashkent, Uzbekistan

Bulletin of National University of Uzbekistan Mathematics and Natural Sciencesjournal2020en

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Annotatsiya

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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Mavzular

Spectral Theory in Mathematical Physics Quantum Mechanics and Non-Hermitian Physics Numerical methods in inverse problems

Identifikatorlar

DOI: 10.56017/2181-1318.1053

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