For quantum or other waves that are band-limited, the quantum potential in the Madelung–Bohm representation vanishes on the boundaries of regions where the waves are superoscillatory (i.e. where they vary faster than any of their Fourier components). This connection is illustrated by calculations of the quantum potential zeros for a superoscillatory superposition of plane waves, and by Aharonov–Bohm waves.

中文翻译：

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超级振荡和量子势弗兰克·弗兰克（FC Frank）在1976年退休演讲中说：“物理学不仅关涉事物的本质，而且关涉事物的所有本质的相互联系”。

对于带限的量子波或其他波，在马德隆-博姆表示中，量子势在波具有超振荡性（即，其变化快于其傅立叶分量的区域）的边界上消失。通过计算平面波的超振荡叠加的量子势零和Aharonov-Bohm波来说明这种连接。