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Mathematics

Scientific Journal of Samarkand University

Journal

2018

Fredholm determinant

Articles 1 - 1 of 1

Full-Text Articles in Physical Sciences and Mathematics

On Negative Eigenvalues Of The Discrete Schrödinger Operator With Non-Local Potential, Sh.S. Lakaev, Z.E. Muminov Oct 2018

On Negative Eigenvalues Of The Discrete Schrödinger Operator With Non-Local Potential, Sh.S. Lakaev, Z.E. Muminov

Scientific Journal of Samarkand University

On the d- dimensional lattice 2 , 1 ,  d d Z the discrete Schrödinger operator  H with non- local potential constructed via the Dirac delta function and shift operator is considered. The existence of negative eigenvalues on the parameters of the operator is explicity derived.