- #1
KaiserBrandon
- 54
- 0
Homework Statement
start with the wave function
[itex]\Psi(x,0) = Ae^{-cx^{2}}e^{ikx}[/itex]
where A,c, and k are real constants (and c is positive)
i) Normalize [itex]\Psi(x,0)[/itex]
ii) Determine [itex]\Psi(x,t)[/itex] and [itex]|\Psi(x,t)|^{2}[/itex]
Homework Equations
The Attempt at a Solution
I normalized it to get [itex]A = (\frac{2c}{\pi})^{1/4}[/itex]
And now to determine [itex]\Psi(x,t)[/itex], I'm fairly sure that I have to make the wave function as a superposition of the energy eigenvectors of the wave-function. However, I am unsure of how to go about doing this.