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A brief conceptual overview of the quantum harmonic oscillator. Hopefully this video provides some visual intuition for what the quantum harmonic oscillator is all about.
Wikipedia page on the Quantum Harmonic Oscillator:
en.m.wikipedia...
Derivation of the stationary states for the Quantum Harmonic Oscillator:
physics.gmu.edu...
Wikipedia page on the Hermite polynomials:
en.m.wikipedia...
Please be careful to use the physicist’s Hermite polynomials, which are the cousins of the mathematician’s Hermite polynomials. The Wikipedia article has a list for both.
Thanks to Seth Cottengim for letting me borrow your microphone and helping with the audio, thanks Patrick and Uncle Art for reviewing the rough draft and providing feedback, and thank you for watching! :)
This is an entry for a contest of Theories of Everything with Curt Jaimungal: / theoriesofeverything (specific video for the contest is • Physics & Consciousnes... )