论文标题
Breit-Wigner系列，用于线路上的非正面支持的电势
The Breit-Wigner series for noncompactly supported potentials on the line
论文作者
论文摘要
我们提出了一个猜想，指出对于非策略支持的潜力的共鸣，$ \ sum_j \ operatatorName {im}λ_j/|λ_j|^|^2 $ diverges。该系列出现在Breit-Wigner近似中，具有紧凑的电势，在这种情况下会收敛。我们为这种猜想提供了启发式动机，并在几种情况下证明了这一点。
We propose a conjecture stating that for resonances, $λ_j$, of a noncompactly supported potential, the series $\sum_j \operatorname{Im} λ_j/|λ_j|^2$ diverges. This series appears in the Breit-Wigner approximation for a compactly supported potential, in which case it converges. We provide heuristic motivation for this conjecture and prove it in several cases.
