arXiv Open Access 2025

Discrete Spectrum of the Bilayer Graphene Operator

Siyu Gao Oleg Safronov

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Abstrak

We consider the graphene operator $D_m$ perturbed by a decaying potential $αV$, where $α$ is a coupling constant. We study the number $N(λ,α)$ of eigenvalues of the operator $D(t)=D_m-tV$ passing through a regular point $λ\inρ(D_m)$ as $t$ changes from $0$ to $α$. We obtain asymptotic formulas for $N(λ,α)$ as $α\to\infty$.

Topik & Kata Kunci

math.SP

Penulis (2)

Siyu Gao

Oleg Safronov

Format Sitasi

APA MLA BibTeX

Gao, S., Safronov, O. (2025). Discrete Spectrum of the Bilayer Graphene Operator. https://arxiv.org/abs/2506.22998

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓