What is the Physical Significance of Various Wave Functions?

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Can they all have physical significance though? can for example psi(x) = cos-1 x be a wavefunction? The answer is no, so what conditons are imposed on the wavefunction?
 
mykel_dg said:
All i know is that these wave functions all can have physical significance...
How do you figure? The problem asks you to decide which can have physical significance, so obviously some must be ruled out. What do you think are the requirements for a function to admit an interpretation as a physical wavefunction?
 
I think one of the requirements is that the graph should be continuous, and another requirement is that it shouldn't be a multiple valued function, so it should be a one on one function. With these two requirements, I could rule two graphs.
 

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