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Adiabatic theorem
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=== Simple pendulum === As an example, consider a [[pendulum]] oscillating in a vertical plane. If the support is moved, the mode of oscillation of the pendulum will change. If the support is moved ''sufficiently slowly'', the motion of the pendulum relative to the support will remain unchanged. A gradual change in external conditions allows the system to adapt, such that it retains its initial character. The detailed classical example is available in the [[Adiabatic invariant#Classical mechanics β action variables|Adiabatic invariant]] page and here.<ref name=":2">{{cite web |author=Zwiebach |first=Barton |date=Spring 2018 |title=Classical analog: oscillator with slowly varying frequency |url=https://www.youtube.com/watch?v=DYJM_P4sG-c |url-status=live |archive-url=https://ghostarchive.org/varchive/youtube/20211221/DYJM_P4sG-c |archive-date=2021-12-21 |publisher=MIT 8.06 Quantum Physics III}}{{cbignore}}</ref>
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