A noticeable research topic in optics is optical phenomena associated with the nonstatic waves. If the parameters of a medium vary by a periodic or randomly exerted perturbation, the waves become nonstatic, leading to a variation in their shapes. The decay of wave amplitudes through dissipation is also an outcome of wave nonstaticity. In this research, we demonstrate that Schrödinger equation allows nonstatic quantum waves even in the situation where the waves neither suffer perturbation nor undergo dissipation. The time behavior of nonstatic waves in such a static environment is investigated in detail in the Fock state at first. And then, we extend our development for such a peculiar wave characteristic to the case of a Gaussian wave evolution which resembles the behavior of classical states. It is shown how to define a quantitative nonstaticity measure which can be used universally beyond the Fock-state nonstatic waves. Understanding the characteristics of nonstatic-wave phenomena may not only provide deeper insight into the essence of nature, but is helpful for practical applications of the wave nonstaticity in science and technology of electromagnetic wave modulations.

光学中一个值得注意的研究主题是与非静波相关的光学现象。如果介质的参数因周期性或随机施加的扰动而发生变化，则这些波将变为非静态的，从而导致其形状发生变化。由于耗散而引起的波振幅衰减也是波非静态性的结果。在这项研究中，我们证明了Schrödinger方程即使在波既不受到扰动也不经历耗散的情况下，也允许非静态量子波。首先，详细研究了在Fock状态下这种静态环境中非静态波的时间行为。然后，我们将这种特殊的波动特性的开发扩展到类似于经典状态行为的高斯波动的情况。它显示了如何定义定量非静态度量，该度量可以在Fock状态非静态波之外通用。了解非静态波现象的特征不仅可以提供对自然本质的更深刻的了解，而且对于电磁波调制科学技术中的波非静态性的实际应用很有帮助。