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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.22998 |
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| _version_ | 1866916815041462272 |
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| author | Gao, Siyu Safronov, Oleg |
| author_facet | Gao, Siyu Safronov, Oleg |
| contents | 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 $α\to\infty$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_22998 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Discrete Spectrum of the Bilayer Graphene Operator Gao, Siyu Safronov, Oleg Spectral Theory 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 $α\to\infty$. |
| title | Discrete Spectrum of the Bilayer Graphene Operator |
| topic | Spectral Theory |
| url | https://arxiv.org/abs/2506.22998 |