If the normalization condition is not applied why can a, Physics

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If the normalization condition is not applied why can a

1. Why does the probability density function have to be everywhere real, non-negative, and of finite and definite value?

2. Explain in words what is meant by normalization of a wave function.

3. If the normalization condition is not applied, why can a wave function be multiplied by any constant factor and still remain a solution to the Schroedinger equation?

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