Збережено в:
| Автори: | , , , |
|---|---|
| Формат: | Preprint |
| Опубліковано: |
2022
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| Предмети: | |
| Онлайн доступ: | https://arxiv.org/abs/2203.01352 |
| Теги: |
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Зміст:
- We study the distribution of resonances for discrete Hamiltonians of the form $H_0+V$ near the thresholds of the spectrum of $H_0$. Here, the unperturbed operator $H_0$ is a multichannel Laplace type operator on $\ell^2(\mathbb Z; \mathbb C^N) \cong \ell^2(\mathbb Z)\otimes \mathbb C^N$ and $V$ is a non-selfadjoint compact perturbation. We compute the exact number of resonances and give a precise description on their location in clusters around some special points in the complex plane.