论文标题
非频道多通道离散schrödinger操作员的共振群
Clusters of resonances for a non-selfadjoint multichannel discrete Schrödinger operator
论文作者
论文摘要
我们研究了$ h_0+h_0 $的阈值的$ h_0+v $的离散哈密顿量共振的分布。在这里，不受干扰的操作员$ h_0 $是$ \ ell^2（\ Mathbb z; \ Mathbb c^n）\ cong \ ell^2（\ Mathbb z）\ otimes \ otimes \ Mathbb c^n $和$ v $是非副电物的近距离近距离化。我们计算了确切的共振数量，并在复杂平面的某些特殊点附近对其位置进行了精确描述。
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.
