一维量子理论中散射振幅的解析性质
Analytical properties of scattering amplitudes in one-dimensional quantum theory
摘要：
考虑了局域势垒的一维量子散射。通过与薛定谔方程等价的积分方程研究了散射振幅的解析性质。过渡和反射振幅表示的入射能量，这是类似的约斯特函数的分波散射的两个复杂的函数。这些功能是整个有限范围的潜力和亚纯指数下降的潜力。的分析性质的结果从本地的潜在的波动方程和代表的因果关系的散射过程的时间依赖性的效果。
英文摘要：
One-dimensional quantum scattering from a local potential barrier is considered. Analytical properties of the scattering amplitudes have been investigated by means of the integral equations equivalent to the Schrodinger equations. The transition and reflection amplitudes are expressed in terms of two complex functions of the incident energy, which are similar to the Jost function in the partial-wave scattering. These functions are entire for finite-range potentials and meromorphic for exponentially decreasing potentials. The analytical properties result from locality of the potential in the wave equation and represent the effect of causality in time dependence of the scattering process.
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