多通道耦合的超对称量子力学和费什巴赫共振的精确可解模型
Multichannel coupling with supersymmetric quantum mechanics and exactly-solvable model for Feshbach resonance
摘要：
引入了耦合通道径向薛定谔方程的一种新的超对称变换，它不保持解在原点处的消失行为。与通常的变换相反，这些“非保守”变换允许在存在阈值的情况下，从非耦合势构造具有耦合散射矩阵的势。作为一个例子，得到了一个精确可解的势矩阵，它提供了一个非常简单的Feshbach共振现象模型。
英文摘要：
A new type of supersymmetric transformations of the coupled-channel radial Schroedinger equation is introduced, which do not conserve the vanishing behavior of solutions at the origin. Contrary to usual transformations, these ``non-conservative'' transformations allow, in the presence of thresholds, the construction of potentials with coupled scattering matrices from uncoupled potentials. As an example, an exactly-solvable potential matrix is obtained which provides a very simple model of Feshbach-resonance phenomenon.
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