论文标题
计算散射共振
Computing Scattering Resonances
论文作者
论文摘要
是否可以解决是否可以计算Schrödinger运营商的散射共振的问题 - 独立于特定的潜力。给出了一个积极的答案，这表明先验所需的唯一信息是潜在支持的大小。潜力本身仅需要为$ \ MATHCAL {C}^1 $。证明具有建设性，提供了一种通用算法，该算法只需要在任何请求的点上访问潜力值。
The question of whether it is possible to compute scattering resonances of Schrödinger operators - independently of the particular potential - is addressed. A positive answer is given, and it is shown that the only information required to be known a priori is the size of the support of the potential. The potential itself is merely required to be $\mathcal{C}^1$. The proof is constructive, providing a universal algorithm which only needs to access the values of the potential at any requested point.
