I have the following problem I am trying to solve.
Consider operators A and B that satisfy
A|a> = k B|a> // for the ket |a>
Prove
<a| AB |a> = k* <a|BB|a>
(where * denote conjugate)
But it seems to me that it would be =k<a|BB|a>
Since <a|AB|a> = <a|B+A+|a>* =<a|B+k*B+|a>*
=k<a|BB|a>
where + denote adjoint.
What did i do wrong?
Consider operators A and B that satisfy
A|a> = k B|a> // for the ket |a>
Prove
<a| AB |a> = k* <a|BB|a>
(where * denote conjugate)
But it seems to me that it would be =k<a|BB|a>
Since <a|AB|a> = <a|B+A+|a>* =<a|B+k*B+|a>*
=k<a|BB|a>
where + denote adjoint.
What did i do wrong?
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