更一般的不确定性原理:从傅里叶变换说起
原名:The more general uncertainty principle, regarding Fourier transforms [3Blue1Brow
关于这个视频
3Blue1Brown 显示了傅里叶变换如何产生不确定性原理。波包不可能在位置和频率上都变窄,因此原理是波的特性而不是测量的特性。
HN 为什么推荐它:HN 推荐它作为最清晰的视觉解释,即不确定性是波固有的,与测量干扰无关。
“我遇到过的对傅里叶不确定性原理最清晰、最直观的解释是 3Blue1Brown 的 Grant Sanderson 的。”— HN 评论 · 2024 · 原文
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3Blue1Brown shows how the uncertainty principle arises from Fourier transforms. A wave packet cannot be narrow in both position and frequency, so the principle is a property of waves rather than of measurement.
Why HN likes it: HN recommends it as the clearest visual explanation that uncertainty is intrinsic to waves, separate from measurement disturbance.
“The clearest, most intuitive explanation of the Fourier Uncertainty Principle that I have come across is by Grant Sanderson of 3Blue1Brown.”
HN 提及 11 次推荐者 7 人首次 2019最近 2025质量分 6.5
原视频频道:3Blue1Brown · YouTube 234.8 万次观看
科普进阶常青傅立叶变换测不准原理波包量子力学信号处理3Blue1Brown













