Homework SolutionQuantum Operators: Pr Y & Pr^2 Y

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Chronos000
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Homework Statement



I'm given the expression for the operator Pr Y

Pr Y= -ih(bar) (1/r) d/dr (r Y)

I want to find Pr^2 Y so I have dotted Pr with Pr

I expect to get:

-h(bar)^2 (1/r) d/dr [ Y(Y + r dY/dr)]

but my notes have omitted the first Y in the above bracket and I can't see why.
 
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there's nothing wrong with the answer, the Y shouldn't be there. Pr^2 Y means operating Pr on Pr Y