THE DISCRETE SPECTRUM OF THE DISCRETE LAPLACIAN ON THE ONE-DIMENSIONAL LATTICE

Mualliflar

  • Madatova Fotima Abdiraximovna

DOI:

https://doi.org/10.55439/yutsftim/586

Kalit so‘zlar:

Discrete Laplacian, Discrete Schrödinger operator, eigenvalues, Fredholm determinant.

Abstrak

We study a Schrödinger operator defined a one-dimensional lattice with two delta
potensials. Behaviors of eigenvalues, threshold eigenvalues and threshold resonances
aswell as their dependence on the parameters of the operator are explicitly derived.

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Nashr qilingan

2023-06-23

How to Cite

Madatova Fotima Abdiraximovna. (2023). THE DISCRETE SPECTRUM OF THE DISCRETE LAPLACIAN ON THE ONE-DIMENSIONAL LATTICE. “YANGI O‘ZBEKISTON TARAQQIYOT STRATEGIYASIDA FAN VA TA’LIM INTEGRATSIYASI MASALALARI” Mavzusidagi Respublika ilmiy–amaliy Anjumani MAQOLALAR TO’PLAMI, 1(1), 277–282. https://doi.org/10.55439/yutsftim/586