论文标题
广义弗里德里奇模型的特征值的收敛膨胀，具有排名一的扰动
Convergent expansions of eigenvalues of the generalized Friedrichs model with a rank-one perturbation
论文作者
论文摘要
我们研究了广义弗里德里奇型$h_μ（p）$的特征值的存在，具有排名一驱动的扰动，具体取决于参数$μ> 0 $> 0 $> 0 $和$ p \ in \ mathbb {t}^2 $，并在$μ（p）$（p）$（p）coupl coupl con con thresh the o eigenvalues in eigenvalues in the eigenvalues in of eigenvalues nose扩展高度依赖于此，无论基本频谱的阈值$ m（p）$是：$（i）$既不是阈值特征值还是阈值共鸣； $（ii）$ a阈值共振； $（iii）$一个特征值。
We study the existence of eigenvalues of the generalized Friedrichs model $H_μ(p)$, with a rank-one perturbation, depending on parameters $μ>0$ and $p\in\mathbb{T}^2$, and found an absolutely convergent expansions for eigenvalues at $μ(p)$, the coupling constant threshold. The expansions are highly dependent on that, whether the threshold $m(p)$ of the essential spectrum is: $(i)$ neither an threshold eigenvalue nor a threshold resonance; $(ii)$ a threshold resonance; $(iii)$ an threshold eigenvalue.
