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in terms of ladder operators to simplify the calculation of matrix elements... calculate those

i) <u+2|P^{2}|u>

ii) <u+1| X^{3}|u>

If u is different in both sides, then the value is 0? is it right it is 0 fir both i and ii?

when exactly equals 0, please explain slowly, my background is chemistry and not physics..

Thank you.

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# Ladder operators and matrix elements..

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