I am perplexed. My professor told me that I can conjugate: [itex]\psi \left( x,0 \right)[/itex] However, I am confused. There is no time dependence, there is no i. It is like saying z = a + 0i z* = a - 0i It is rather useless to even say that and it seems also useless to conjugate something with no i in it. Am I missing something fundamental?