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Apr 26, 2014 at 21:32 comment added George G I don't think the OP was aware of the difference between hermitian conjugation and complex conjugation, so it is better to maintain a distinction.
Apr 26, 2014 at 18:31 comment added Ajayu $\hat{A}^*$ is coherent with the notation used in the question, which uses $\hat{p}^*$ as the hermitian conjugate of the impulsion operator. Althought not standard among physicist, it's the one chosen to formulate the question.
Apr 26, 2014 at 4:40 comment added auxsvr @Ajayu Physicists denote complex conjugation by $\hat{A}^*$ and hermitian conjugation by $\hat{A}^\dagger$.
Apr 25, 2014 at 21:58 comment added Ajayu Working on the space of infinitely differentiable functions, the distribution of the hermitian conjugation is correct in the way depicted in the question. The only problem would arrise when conjugating the multiplication of operators, in which case the only correction needed is to inverse the order of the operators in the product, like $(\hat{A}\hat{B})^*=\hat{B}^*\hat{A}^*$
Apr 25, 2014 at 19:31 history answered George G CC BY-SA 3.0