Time delay in N‐body scattering
Time delay in N‐body scattering
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N体散射的时间延迟
DOI：
10.1063/1.524164
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发表时间：
1979
期刊：
影响因子：
--
通讯作者：
T. Osborn
中科院分区：
文献类型：
--
作者：
D. Bollé;T. Osborn
我们将时间延迟理论推广到N体散射。在二体和三体问题中，将时滞与S矩阵联系起来的已知结果表明，这些关系是普遍的。在两希尔伯特空间N体散射理论的背景下，提供了时间延迟的抽象定义。对于所有由两个团簇碰撞引发的散射过程，构造了一个简单的证明，建立了时间延迟与壳层S矩阵及其能量导数的联系。这里给出的时滞定义和证明方法与三体问题中使用的早期方法进行了比较。
We extend the theory of time delay to N‐body scattering. The known results relating time delay to the S matrix in the two‐body and three‐body problem suggest that these relationships are universal. Within the context of two‐Hilbert space N‐body scattering theory an abstract definition of time delay is provided. For all scattering processes initiated by the collision of two clusters a simple proof is constructed establishing the connection of time delay to the on‐shell S matrix and its energy derivatives. The definition of time delay and method of proof given here are compared with earlier approaches used in the three‐body problem.