SPECTRAL ASYMPTOTICS OF DISCRETE SCHRÖDINGER OPERATORS UNDER POINT INTERACTION POTENTIALS"

We investigate the one-particle discrete Schrödinger operator with Dirac delta potential on the -dimensional lattice. We show that the operator the operator has a unique eigenvalue and obtain an asymptotics expansion for this eigenvalue as wight of potential approaches the infinity.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-07-04
DOI
https://doi.org/10.5281/zenodo.15806771
Primary Topic
Hydrology and Watershed Management Studies
Type
article
Field-Weighted Citation Impact
0.00
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article

SPECTRAL ASYMPTOTICS OF DISCRETE SCHRÖDINGER OPERATORS UNDER POINT INTERACTION POTENTIALS"

Zenodo (CERN European Organization for Nuclear Research)
Hydrology and Watershed Management Studies
article

SPECTRAL ASYMPTOTICS OF DISCRETE SCHRÖDINGER OPERATORS UNDER POINT INTERACTION POTENTIALS"

article en

Abstract

We investigate the one-particle discrete Schrödinger operator with Dirac delta potential on the -dimensional lattice. We show that the operator the operator has a unique eigenvalue and obtain an asymptotics expansion for this eigenvalue as wight of potential approaches the infinity.

Zenodo (CERN European Organization for Nuclear Research)
National University of Uzbekistan (UZ)
Openalex Percentile: Top 59%
Hydrology and Watershed Management Studies
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SPECTRAL ASYMPTOTICS OF DISCRETE SCHRÖDINGER OPERATORS UNDER POINT INTERACTION POTENTIALS" · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS