Rotational motion
(a) Show that [? ̂?,? ̂?] = ?ℏ? ̂?, [? ̂?,? ̂?] = ?ℏ? ̂?, [? ̂?,?
̂?] = ?ℏ? ̂?.
(b) Show that [? ̂2,? ̂?] = 0, and then, without further
calculations, justify the remark that [? ̂2,? ̂?] = 0 for all ? =
?, ?, and ?. What does this mean in terms of uncertainty
principles?
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