Hi, quick question with A being the lowering operator and A(adsbygoogle = window.adsbygoogle || []).push({}); ^{†}the raising operator for a QHO

(A A^{†}- 1 + 1/2) ħω [Aψ] = A (A^{†}A - 1 + 1/2) ħω ψ

By taking out a factor of A. Why has the ordering of A A^{†}swapped around? I would have thought taking out a factor of A would leave it as

A (A^{†}- 1 + 1/2) ħω ψ

Jane

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# I QM - Ladder Operator QHO - factorization

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