What is the significance of the 1D wave function Ψ(x,t) in quantum mechanics?

[Cybercole]

Ψ(x,t)=A⋅exp(A|x|)⋅exp(−iωt)


Consider the one-dimensional, time-dependent wave function for infinite motion: (x,t) = Ae–a|x| e–it where A, a, and  are positive real constants. What are: (a) normalization constant A, (b) the quantum-mechanical expectation value of coordinate x, (c) the quantum-mechanical expectation value of x2, and (d) the quantum-mechanical expectation value of the square of momentum ^p2

 

[CompuChip]

They look like they are straightforward to integrate... what is your problem exactly?
Do you not understand what a normalization constant is, or how to calculate it, or did you get stuck in the integration, or ... ?

 

[Cybercole]

I know how to normalize a funtion but i am getting stuck in the middle of it... we have never normalize somthing like this before all we have ever done was matrices, i am not very strong in this type of math

 

[Redbelly98]

I know how to normalize a funtion but i am getting stuck in the middle of it...

Please show your work, up to the part where you are stuck.