Asymptotic Behavior of Eigenvalues in Discrete Schrödinger Operators With Point Interaction Potential
Year: 2025
Type: article
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.
Authors: Muminov, Zahriddin, Madatova, Fotima, Balqiboyev, Jasur
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W6893068249
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