EXPANSION OF EIGENVALUES OF SCHRÖDINGER-TYPE OPERATORS ON LATTICES

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Published: 2024-05-18
DOI: https://doi.org/10.5281/
Keywords:
and phrases: one-particle discrete Schrödinger-type operators, potential, essential spectrum, eigenvalue, asymptotic behavior

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Almuratov F.
Jizzakh branch of the National University of Uzbekistan, Associate professor, Department of Applied Mathematics
Nurmanova E.
Jizzakh branch of the National University of Uzbekistan, student
Erkinova R.
Jizzakh branch of the National University of Uzbekistan, student
Matkarimov S.
Jizzakh branch of the National University of Uzbekistan, student

Abstract

We study the discrete spectrum of a wide class of discrete Schrödinger-type operators on the two-dimensional lattice where is a Laurent-Toeplitz-type convolution operator, is a finite rank potential and is the coupling constant.

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Vol. 1 No. 1 (2024): ZAMONAVIY INNOVATSION TADQIQOTLARNING DOLZARB MUAMMOLARI VA RIVOJLANISH TENDENSIYALARI: YECHIMLAR VA ISTIQBOLLAR mavzusidagi Respublika ilmiy-texnik anjuman (2024-yil 17-18-may) (1-qism)

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Almuratov, F., Nurmanova, E., Erkinova, R., & Matkarimov, S. (2024). EXPANSION OF EIGENVALUES OF SCHRÖDINGER-TYPE OPERATORS ON LATTICES. Konferensiyalar, 1(1), 279-282. https://doi.org/10.5281/

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