讨论了散射振幅的解析性质和波函数、能谱方程以及相移的非相对论近似。

The non-relativistic approximation of wave functions and energy equation and phase shifts are also studied.

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本文对谐振子的因果律和解析性质进行了研究，并由此推导出谐振子的希尔伯特变换对。

This paper studies the causality and analyticity characteristics in harmonic oscillator, and from which drives Hilbert transform pair.

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对于函数级数，研究其和函数的解析性质很重要，但函数级数必须具有一致收敛性，而判断函数级数的一致收敛性往往是比较困难的。

However, this study should be based on the fact that the series must have consistent convergence, the judgment of which is rather difficult.

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