tamim83: althought i do not understand the answer much(im in grade 12), still thanks for the answer!

pantone159: I have attached 2 graphs, and the question was which of the following wave functions are not possible for a particle found in a certain region of space? why?

Left graph - Not a wave function because 1 value of x gives 2 values of psi as wave functions must be a continous function.

Right graph: Not a wave function because of the abrupt change in value from +v1 to 1-ve

Both are my teacher's answers

I have the following questions:

1) Wave function have to be a one-to-one function since it does not allow 1 x value gives 1 psi value.

2) 1 x-value corresponds to only 1 psi value because psi is a unique mathematical quantity?

3) You said that the as long as it is continious it does not matter of the change from + to - Why is the right graph not a wave function then? It is continous.

Thanks for any help given and sorry for the hand drawn graphs =D cookies for both of you