ASYMPTOTIC BEHAVIOR OF EIGENVALUES IN DISCRETE SCHRÖDINGER OPERATORS WITH POINT INTERACTION POTENTIAL

We investigate the one-particle discrete Schrödinger operator with Dirac delta potential on the 𝑑-dimensional cubic 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.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-03-16
DOI
https://doi.org/10.5281/zenodo.15033820
Primary Topic
Spectral Theory in Mathematical Physics
Type
article
Field-Weighted Citation Impact
0.00
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article

ASYMPTOTIC BEHAVIOR OF EIGENVALUES IN DISCRETE SCHRÖDINGER OPERATORS WITH POINT INTERACTION POTENTIAL

Zenodo (CERN European Organization for Nuclear Research)
Spectral Theory in Mathematical Physics
article

ASYMPTOTIC BEHAVIOR OF EIGENVALUES IN DISCRETE SCHRÖDINGER OPERATORS WITH POINT INTERACTION POTENTIAL

article en

Abstract

We investigate the one-particle discrete Schrödinger operator with Dirac delta potential on the 𝑑-dimensional cubic 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)
Openalex Percentile: Top 54%
Spectral Theory in Mathematical Physics
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ASYMPTOTIC BEHAVIOR OF EIGENVALUES IN DISCRETE SCHRÖDINGER OPERATORS WITH POINT INTERACTION POTENTIAL · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS