格点上波包的异常展宽
Unusual broadening of wave packets on lattices
摘要：
一维高斯波包的展宽在所有的量子力学教科书中都有介绍。它被用来阐明海森堡的测不准关系。如果波包的振幅和/或相位在晶格常数的尺度上变化，则晶格上的行为是完全不同的。重要的例子是非常窄的波包或平均速度与晶格上的最大速度相当的波包。给出了一维晶格上波包随时间变化的解析和数值结果。
英文摘要：
The broadening of one-dimensional Gaussian wave packets is presented in all textbooks on quantum mechanics. It is used to elucidate Heisenberg's uncertainty relation. The behaviour on a lattice is drastically different if the amplitude and/or phase of the wave packet varies on the scale of the lattice constant. Important examples are very narrow wave packets ot wave packets with an average velocity comparable to the maximum velocity on the lattice. Analytical and numerical results for the time dependence of wave packets on a one-dimensional lattice are presented.
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