Open Access. Powered by Scholars. Published by Universities.®

Physical Sciences and Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

Journal

2020

National University of Uzbekistan

Lattice

Articles 1 - 2 of 2

Full-Text Articles in Physical Sciences and Mathematics

On Negative Eigenvalues Of The Discrete Schrödinger Operator With Non-Local Potential, Zahriddin Muminov, Shukhrat Lakaev Apr 2020

On Negative Eigenvalues Of The Discrete Schrödinger Operator With Non-Local Potential, Zahriddin Muminov, Shukhrat Lakaev

Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences

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.


On Negative Eigenvalues Of The Discrete Schrödinger Operator With Non-Local Potential, Zahriddin Muminov, Shukhrat Lakaev Apr 2020

On Negative Eigenvalues Of The Discrete Schrödinger Operator With Non-Local Potential, Zahriddin Muminov, Shukhrat Lakaev

Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences

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.