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I'm having problems understanding the operator algebra. Particularly in this case:

Suppose I have this projection ## \langle \Phi_{1} | \hat{A} | \Phi_{2} \rangle ## where the ##\phi's ## have an orthonormal countable basis.

If I do a state expansion on both sides then I suppose I'd get this: [tex]\sum_{n,m} \langle n | b_{n}^* \, \hat{A} \, c_{m} | m \rangle [/tex]

And what's to stop me from moving the operator to the left and getting a kronecker-delta?

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# I When can one clear the operator

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