It is a well known fact that in a central potential (spherically symmetric) both Lz and L^2 commutes with H and the expectaitonvalues of these are therefore constants of the motion. On the other hand the proof of this fact seems, in the most cases, to be done in the position basis where it is rather laborous.(adsbygoogle = window.adsbygoogle || []).push({});

I wondered if someone knew a way to prove this by just working with the operators directly and the fundamental commutation relations?

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# Conservation of L^2 and Lz in central potential

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