- #1

Kvm90

- 28

- 0

Normalize this wave function.

psi(x,t)=Axe^(-sqrt(km)/2h)*x^2))*e^(-i(3/2)(sqrt(k/m)*t)

for -infinity<x<+infinity where k and A are constants and m is given.

I used int(psi(x,t)psi*(x,t)dx)=1 and have arrived at the following integral, which I (nor online integrators) can't clearly do:

int(A^2*x^2*e^[(-sprt(km)/h)*x^2]=1

According to the back of the book, the answer is [sqrt(2)/pi^(1/4)][km/h^2]^(3/8). Any help would be appreciated!