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"Suppose that, in a state with wave function Ψ

"Suppose that, in a state with wave function Ψ

_{1}(q), some measurement leads with certainty to a definite result 1, while in a state with*Ψ*it leads to a different result 2. Then it is assumed that every linear combination of_{2}(q)*Ψ*"_{1}(q) and*Ψ*_{2}(q) gives a state in which that measurement leads to either result 1 or result 2.Cool I said, this implies that Ψ

_{1,2}(q) = Ψ

_{1}(q) +Ψ

_{2}(q) no?

Well I carried on reading of a system composed of two well known parts and found:

"

*Ψ*

_{1,2}(q) =*Ψ*_{1}(q)*Ψ*_{2}(q)"Be gentle with the explanation please!!