What is the result of the commutation relation between the creation operator and a power of the annihilation operators in simple harmonic oscillator problem?
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$\begingroup$ In the book named quantum mechanics by Nouredine zettili , you can see this topic in detail. $\endgroup$– ToobaCommented Sep 29, 2018 at 6:42
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$$[A,B^{2}]=[A,B]B-B[B,A]$$
Can you generalize that?