I watched a lecture that derived the properties of the angular momentum operators J and J3 using two QHOs and a bunch of algebra. The initial assumption was that(adsbygoogle = window.adsbygoogle || []).push({}); two independent QHOs somehow correspond to angular momentumand everything was derived from there. I understand all the algebra (pretty basic stuff) but I don't understand the initial assumption.

Or, am I way off base and is the only relation between angular momentum and two independent QHOs that the two oscillators satisfy the J plus and J minus operator algebra?

You can see the lecture here if you want (AM stuff is 27 minutes in).

http://www.youtube.com/watch?v=dCua1R9VIiQ&feature=channel

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# From QHO to Angular Momentum

Can you offer guidance or do you also need help?

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