Boundary Conditions and Time-Dependent States
Boundary Conditions and Time-Dependent States
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边界条件和瞬态状态
DOI：
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发表时间：
1951
期刊：
影响因子：
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通讯作者：
M. Moshinsky
中科院分区：
文献类型：
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作者：
M. Moshinsky
在前一篇文章中，介绍了用边界条件描述核反应的唯象方法。这些连接反应几个阶段（初始粒子、复合核等）的边界条件，适用于时间依赖的，以及稳态。这是可能的，然后讨论的时间发展的任何国家最初指定。本文给出了两个无自旋粒子的单能级S波散射和复合粒子的衰变过程的含时描述。这种依赖于时间的描述所依赖的唯一参数是散射矩阵的极点。讨论了散射矩阵的极点在复平面上的位置与散射和衰变过程随时间变化的关系。得到了瞬态散射电流的形式。广义汉克尔变换的基础上，目前的发展，将显示在下面的文件是一个后果的扩展定理的状态在福克空间。
In a previous paper, a phenomenological description of nuclear reactions by means of boundary conditions was introduced. These boundary conditions that connect the several stages of the reaction (initial particles, compound nucleus, etc.) apply to time-dependent, as well as to stationary states. It is possible to discuss then the time development of any state specified initially. In the present paper a time-dependent description is obtained for the single-level $S$-wave scattering of two spinless particles, and for the process of disintegration of a compound particle. The only parameters on which this time-dependent description depends are the poles of the scattering matrix. The connection between the position of the poles of the scattering matrix in the complex plane, and the time-dependent behavior of the scattering and disintegration processes, is discussed. The form of the transient scattered current is also obtained. The generalized Hankel transforms on which the present developments are based, will be shown in a following paper to be a consequence of the expansion theorems for states in Fock space.